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Finding the Fourth Proportional to 10,498.92, 15,751.11 and 4,654.14

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Solution

The fourth proportional to 10,498.92, 15,751.11 and 4,654.14 is: 6,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.92 : 15,751.11 = 4,654.14 : x
  2. Step 2: Convert to fraction form
    10,498.92/15,751.11 = 4,654.14/x
  3. Step 3: Cross multiply
    10,498.92x = 15,751.11 × 4,654.14
  4. Step 4: Simplify right side
    10,498.92x = 73,307,871.10
  5. Step 5: Solve for x
    x = 73,307,871.10/10,498.92
  6. Step 6: Final answer
    x = 6,982.42

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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.