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Finding the Fourth Proportional to 10,714.78, 16,059.84 and 7,200.55

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Solution

The fourth proportional to 10,714.78, 16,059.84 and 7,200.55 is: 10,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.78 : 16,059.84 = 7,200.55 : x
  2. Step 2: Convert to fraction form
    10,714.78/16,059.84 = 7,200.55/x
  3. Step 3: Cross multiply
    10,714.78x = 16,059.84 × 7,200.55
  4. Step 4: Simplify right side
    10,714.78x = 115,639,680.91
  5. Step 5: Solve for x
    x = 115,639,680.91/10,714.78
  6. Step 6: Final answer
    x = 10,792.54

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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.