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Finding the Fourth Proportional to 10,677.64, 16,016.46 and 4,834.12

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Solution

The fourth proportional to 10,677.64, 16,016.46 and 4,834.12 is: 7,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.64 : 16,016.46 = 4,834.12 : x
  2. Step 2: Convert to fraction form
    10,677.64/16,016.46 = 4,834.12/x
  3. Step 3: Cross multiply
    10,677.64x = 16,016.46 × 4,834.12
  4. Step 4: Simplify right side
    10,677.64x = 77,425,489.62
  5. Step 5: Solve for x
    x = 77,425,489.62/10,677.64
  6. Step 6: Final answer
    x = 7,251.18

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Why These Related Problems?

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