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Finding the Fourth Proportional to 10,631.78, 14,671.22 and 6,155.21

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Solution

The fourth proportional to 10,631.78, 14,671.22 and 6,155.21 is: 8,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.78 : 14,671.22 = 6,155.21 : x
  2. Step 2: Convert to fraction form
    10,631.78/14,671.22 = 6,155.21/x
  3. Step 3: Cross multiply
    10,631.78x = 14,671.22 × 6,155.21
  4. Step 4: Simplify right side
    10,631.78x = 90,304,335.92
  5. Step 5: Solve for x
    x = 90,304,335.92/10,631.78
  6. Step 6: Final answer
    x = 8,493.81

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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.