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Finding the Fourth Proportional to 10,545.81, 14,552.77 and 6,069.71

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Solution

The fourth proportional to 10,545.81, 14,552.77 and 6,069.71 is: 8,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.81 : 14,552.77 = 6,069.71 : x
  2. Step 2: Convert to fraction form
    10,545.81/14,552.77 = 6,069.71/x
  3. Step 3: Cross multiply
    10,545.81x = 14,552.77 × 6,069.71
  4. Step 4: Simplify right side
    10,545.81x = 88,331,114.80
  5. Step 5: Solve for x
    x = 88,331,114.80/10,545.81
  6. Step 6: Final answer
    x = 8,375.94

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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.