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Finding the Fourth Proportional to 8,545.65, 12,830.28 and 5,906.66

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Solution

The fourth proportional to 8,545.65, 12,830.28 and 5,906.66 is: 8,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.65 : 12,830.28 = 5,906.66 : x
  2. Step 2: Convert to fraction form
    8,545.65/12,830.28 = 5,906.66/x
  3. Step 3: Cross multiply
    8,545.65x = 12,830.28 × 5,906.66
  4. Step 4: Simplify right side
    8,545.65x = 75,784,037.51
  5. Step 5: Solve for x
    x = 75,784,037.51/8,545.65
  6. Step 6: Final answer
    x = 8,868.14

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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.