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Finding the Fourth Proportional to 10,329.98, 15,497.14 and 5,398.29

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Solution

The fourth proportional to 10,329.98, 15,497.14 and 5,398.29 is: 8,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.98 : 15,497.14 = 5,398.29 : x
  2. Step 2: Convert to fraction form
    10,329.98/15,497.14 = 5,398.29/x
  3. Step 3: Cross multiply
    10,329.98x = 15,497.14 × 5,398.29
  4. Step 4: Simplify right side
    10,329.98x = 83,658,042.39
  5. Step 5: Solve for x
    x = 83,658,042.39/10,329.98
  6. Step 6: Final answer
    x = 8,098.57

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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.