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Finding the Fourth Proportional to 11,282.55, 16,929.97 and 5,042.31

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Solution

The fourth proportional to 11,282.55, 16,929.97 and 5,042.31 is: 7,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.55 : 16,929.97 = 5,042.31 : x
  2. Step 2: Convert to fraction form
    11,282.55/16,929.97 = 5,042.31/x
  3. Step 3: Cross multiply
    11,282.55x = 16,929.97 × 5,042.31
  4. Step 4: Simplify right side
    11,282.55x = 85,366,047.17
  5. Step 5: Solve for x
    x = 85,366,047.17/11,282.55
  6. Step 6: Final answer
    x = 7,566.20

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