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Finding the Fourth Proportional to 8,706.29, 12,020.94 and 5,353.61

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Solution

The fourth proportional to 8,706.29, 12,020.94 and 5,353.61 is: 7,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.29 : 12,020.94 = 5,353.61 : x
  2. Step 2: Convert to fraction form
    8,706.29/12,020.94 = 5,353.61/x
  3. Step 3: Cross multiply
    8,706.29x = 12,020.94 × 5,353.61
  4. Step 4: Simplify right side
    8,706.29x = 64,355,397.83
  5. Step 5: Solve for x
    x = 64,355,397.83/8,706.29
  6. Step 6: Final answer
    x = 7,391.83

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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.