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Finding the Fourth Proportional to 11,776.10, 16,251.17 and 6,470.88

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Solution

The fourth proportional to 11,776.10, 16,251.17 and 6,470.88 is: 8,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.10 : 16,251.17 = 6,470.88 : x
  2. Step 2: Convert to fraction form
    11,776.10/16,251.17 = 6,470.88/x
  3. Step 3: Cross multiply
    11,776.10x = 16,251.17 × 6,470.88
  4. Step 4: Simplify right side
    11,776.10x = 105,159,370.93
  5. Step 5: Solve for x
    x = 105,159,370.93/11,776.10
  6. Step 6: Final answer
    x = 8,929.90

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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.