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Finding the Fourth Proportional to 10,552.81, 14,545.98 and 7,148.79

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Solution

The fourth proportional to 10,552.81, 14,545.98 and 7,148.79 is: 9,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.81 : 14,545.98 = 7,148.79 : x
  2. Step 2: Convert to fraction form
    10,552.81/14,545.98 = 7,148.79/x
  3. Step 3: Cross multiply
    10,552.81x = 14,545.98 × 7,148.79
  4. Step 4: Simplify right side
    10,552.81x = 103,986,135.56
  5. Step 5: Solve for x
    x = 103,986,135.56/10,552.81
  6. Step 6: Final answer
    x = 9,853.88

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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.