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Finding the Fourth Proportional to 8,470.90, 12,706.35 and 3,537.85

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Solution

The fourth proportional to 8,470.90, 12,706.35 and 3,537.85 is: 5,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.90 : 12,706.35 = 3,537.85 : x
  2. Step 2: Convert to fraction form
    8,470.90/12,706.35 = 3,537.85/x
  3. Step 3: Cross multiply
    8,470.90x = 12,706.35 × 3,537.85
  4. Step 4: Simplify right side
    8,470.90x = 44,953,160.35
  5. Step 5: Solve for x
    x = 44,953,160.35/8,470.90
  6. Step 6: Final answer
    x = 5,306.78

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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.