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Finding the Fourth Proportional to 7,849,346.88, 11,774,020.48 and 2,458,419.20

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Solution

The fourth proportional to 7,849,346.88, 11,774,020.48 and 2,458,419.20 is: 3,687,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,346.88 : 11,774,020.48 = 2,458,419.20 : x
  2. Step 2: Convert to fraction form
    7,849,346.88/11,774,020.48 = 2,458,419.20/x
  3. Step 3: Cross multiply
    7,849,346.88x = 11,774,020.48 × 2,458,419.20
  4. Step 4: Simplify right side
    7,849,346.88x = 28,945,478,009,225.22
  5. Step 5: Solve for x
    x = 28,945,478,009,225.22/7,849,346.88
  6. Step 6: Final answer
    x = 3,687,628.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.