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Finding the Fourth Proportional to 6,456.43, 8,910.17 and 5,056.75

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Solution

The fourth proportional to 6,456.43, 8,910.17 and 5,056.75 is: 6,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.43 : 8,910.17 = 5,056.75 : x
  2. Step 2: Convert to fraction form
    6,456.43/8,910.17 = 5,056.75/x
  3. Step 3: Cross multiply
    6,456.43x = 8,910.17 × 5,056.75
  4. Step 4: Simplify right side
    6,456.43x = 45,056,502.15
  5. Step 5: Solve for x
    x = 45,056,502.15/6,456.43
  6. Step 6: Final answer
    x = 6,978.55

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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.