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Finding the Fourth Proportional to 8,499.92, 12,760.80 and 6,553.36

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Solution

The fourth proportional to 8,499.92, 12,760.80 and 6,553.36 is: 9,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.92 : 12,760.80 = 6,553.36 : x
  2. Step 2: Convert to fraction form
    8,499.92/12,760.80 = 6,553.36/x
  3. Step 3: Cross multiply
    8,499.92x = 12,760.80 × 6,553.36
  4. Step 4: Simplify right side
    8,499.92x = 83,626,116.29
  5. Step 5: Solve for x
    x = 83,626,116.29/8,499.92
  6. Step 6: Final answer
    x = 9,838.46

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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.