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Finding the Fourth Proportional to 8,414.61, 11,612.11 and 4,637.78

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Solution

The fourth proportional to 8,414.61, 11,612.11 and 4,637.78 is: 6,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.61 : 11,612.11 = 4,637.78 : x
  2. Step 2: Convert to fraction form
    8,414.61/11,612.11 = 4,637.78/x
  3. Step 3: Cross multiply
    8,414.61x = 11,612.11 × 4,637.78
  4. Step 4: Simplify right side
    8,414.61x = 53,854,440.55
  5. Step 5: Solve for x
    x = 53,854,440.55/8,414.61
  6. Step 6: Final answer
    x = 6,400.11

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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.