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Finding the Fourth Proportional to 8,411.38, 12,616.43 and 4,736.61

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Solution

The fourth proportional to 8,411.38, 12,616.43 and 4,736.61 is: 7,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.38 : 12,616.43 = 4,736.61 : x
  2. Step 2: Convert to fraction form
    8,411.38/12,616.43 = 4,736.61/x
  3. Step 3: Cross multiply
    8,411.38x = 12,616.43 × 4,736.61
  4. Step 4: Simplify right side
    8,411.38x = 59,759,084.82
  5. Step 5: Solve for x
    x = 59,759,084.82/8,411.38
  6. Step 6: Final answer
    x = 7,104.55

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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.