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Finding the Fourth Proportional to 12,362.12, 18,543.90 and 4,043

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Solution

The fourth proportional to 12,362.12, 18,543.90 and 4,043 is: 6,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.12 : 18,543.90 = 4,043 : x
  2. Step 2: Convert to fraction form
    12,362.12/18,543.90 = 4,043/x
  3. Step 3: Cross multiply
    12,362.12x = 18,543.90 × 4,043
  4. Step 4: Simplify right side
    12,362.12x = 74,972,987.70
  5. Step 5: Solve for x
    x = 74,972,987.70/12,362.12
  6. Step 6: Final answer
    x = 6,064.74

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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.