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Finding the Fourth Proportional to 11,332.78, 15,638.92 and 6,296.87

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Solution

The fourth proportional to 11,332.78, 15,638.92 and 6,296.87 is: 8,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.78 : 15,638.92 = 6,296.87 : x
  2. Step 2: Convert to fraction form
    11,332.78/15,638.92 = 6,296.87/x
  3. Step 3: Cross multiply
    11,332.78x = 15,638.92 × 6,296.87
  4. Step 4: Simplify right side
    11,332.78x = 98,476,195.17
  5. Step 5: Solve for x
    x = 98,476,195.17/11,332.78
  6. Step 6: Final answer
    x = 8,689.50

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