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Finding the Fourth Proportional to 10,876.52, 16,314.78 and 4,305.80

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Solution

The fourth proportional to 10,876.52, 16,314.78 and 4,305.80 is: 6,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.52 : 16,314.78 = 4,305.80 : x
  2. Step 2: Convert to fraction form
    10,876.52/16,314.78 = 4,305.80/x
  3. Step 3: Cross multiply
    10,876.52x = 16,314.78 × 4,305.80
  4. Step 4: Simplify right side
    10,876.52x = 70,248,179.72
  5. Step 5: Solve for x
    x = 70,248,179.72/10,876.52
  6. Step 6: Final answer
    x = 6,458.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.