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Finding the Fourth Proportional to 11,776.60, 16,251.34 and 6,471.10

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Solution

The fourth proportional to 11,776.60, 16,251.34 and 6,471.10 is: 8,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.60 : 16,251.34 = 6,471.10 : x
  2. Step 2: Convert to fraction form
    11,776.60/16,251.34 = 6,471.10/x
  3. Step 3: Cross multiply
    11,776.60x = 16,251.34 × 6,471.10
  4. Step 4: Simplify right side
    11,776.60x = 105,164,046.27
  5. Step 5: Solve for x
    x = 105,164,046.27/11,776.60
  6. Step 6: Final answer
    x = 8,929.92

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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.