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Finding the Fourth Proportional to 10,149.97, 14,010.76 and 7,639.33

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Solution

The fourth proportional to 10,149.97, 14,010.76 and 7,639.33 is: 10,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.97 : 14,010.76 = 7,639.33 : x
  2. Step 2: Convert to fraction form
    10,149.97/14,010.76 = 7,639.33/x
  3. Step 3: Cross multiply
    10,149.97x = 14,010.76 × 7,639.33
  4. Step 4: Simplify right side
    10,149.97x = 107,032,710.94
  5. Step 5: Solve for x
    x = 107,032,710.94/10,149.97
  6. Step 6: Final answer
    x = 10,545.13

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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.