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Finding the Fourth Proportional to 10,678.16, 14,737.22 and 6,431.43

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Solution

The fourth proportional to 10,678.16, 14,737.22 and 6,431.43 is: 8,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.16 : 14,737.22 = 6,431.43 : x
  2. Step 2: Convert to fraction form
    10,678.16/14,737.22 = 6,431.43/x
  3. Step 3: Cross multiply
    10,678.16x = 14,737.22 × 6,431.43
  4. Step 4: Simplify right side
    10,678.16x = 94,781,366.67
  5. Step 5: Solve for x
    x = 94,781,366.67/10,678.16
  6. Step 6: Final answer
    x = 8,876.19

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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.