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Finding the Fourth Proportional to 6,856.80, 10,265.52 and 5,098.40

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Solution

The fourth proportional to 6,856.80, 10,265.52 and 5,098.40 is: 7,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.80 : 10,265.52 = 5,098.40 : x
  2. Step 2: Convert to fraction form
    6,856.80/10,265.52 = 5,098.40/x
  3. Step 3: Cross multiply
    6,856.80x = 10,265.52 × 5,098.40
  4. Step 4: Simplify right side
    6,856.80x = 52,337,727.17
  5. Step 5: Solve for x
    x = 52,337,727.17/6,856.80
  6. Step 6: Final answer
    x = 7,632.97

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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.