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Finding the Fourth Proportional to 10,876.87, 16,311.86 and 6,710.64

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Solution

The fourth proportional to 10,876.87, 16,311.86 and 6,710.64 is: 10,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.87 : 16,311.86 = 6,710.64 : x
  2. Step 2: Convert to fraction form
    10,876.87/16,311.86 = 6,710.64/x
  3. Step 3: Cross multiply
    10,876.87x = 16,311.86 × 6,710.64
  4. Step 4: Simplify right side
    10,876.87x = 109,463,020.19
  5. Step 5: Solve for x
    x = 109,463,020.19/10,876.87
  6. Step 6: Final answer
    x = 10,063.83

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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.