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Finding the Fourth Proportional to 7,298.72, 10,969.92 and 6,489.52

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Solution

The fourth proportional to 7,298.72, 10,969.92 and 6,489.52 is: 9,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.72 : 10,969.92 = 6,489.52 : x
  2. Step 2: Convert to fraction form
    7,298.72/10,969.92 = 6,489.52/x
  3. Step 3: Cross multiply
    7,298.72x = 10,969.92 × 6,489.52
  4. Step 4: Simplify right side
    7,298.72x = 71,189,515.24
  5. Step 5: Solve for x
    x = 71,189,515.24/7,298.72
  6. Step 6: Final answer
    x = 9,753.70

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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.