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Finding the Fourth Proportional to 10,718.54, 14,789.17 and 6,470.29

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Solution

The fourth proportional to 10,718.54, 14,789.17 and 6,470.29 is: 8,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.54 : 14,789.17 = 6,470.29 : x
  2. Step 2: Convert to fraction form
    10,718.54/14,789.17 = 6,470.29/x
  3. Step 3: Cross multiply
    10,718.54x = 14,789.17 × 6,470.29
  4. Step 4: Simplify right side
    10,718.54x = 95,690,218.76
  5. Step 5: Solve for x
    x = 95,690,218.76/10,718.54
  6. Step 6: Final answer
    x = 8,927.54

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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.