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Finding the Fourth Proportional to 11,062.40, 15,263.64 and 6,757.76

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Solution

The fourth proportional to 11,062.40, 15,263.64 and 6,757.76 is: 9,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,062.40 : 15,263.64 = 6,757.76 : x
  2. Step 2: Convert to fraction form
    11,062.40/15,263.64 = 6,757.76/x
  3. Step 3: Cross multiply
    11,062.40x = 15,263.64 × 6,757.76
  4. Step 4: Simplify right side
    11,062.40x = 103,148,015.85
  5. Step 5: Solve for x
    x = 103,148,015.85/11,062.40
  6. Step 6: Final answer
    x = 9,324.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.