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Finding the Fourth Proportional to 10,498.52, 14,489.56 and 7,976.52

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Solution

The fourth proportional to 10,498.52, 14,489.56 and 7,976.52 is: 11,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.52 : 14,489.56 = 7,976.52 : x
  2. Step 2: Convert to fraction form
    10,498.52/14,489.56 = 7,976.52/x
  3. Step 3: Cross multiply
    10,498.52x = 14,489.56 × 7,976.52
  4. Step 4: Simplify right side
    10,498.52x = 115,576,265.13
  5. Step 5: Solve for x
    x = 115,576,265.13/10,498.52
  6. Step 6: Final answer
    x = 11,008.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.