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Finding the Fourth Proportional to 10,311.66, 15,467.46 and 2,520.47

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Solution

The fourth proportional to 10,311.66, 15,467.46 and 2,520.47 is: 3,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.66 : 15,467.46 = 2,520.47 : x
  2. Step 2: Convert to fraction form
    10,311.66/15,467.46 = 2,520.47/x
  3. Step 3: Cross multiply
    10,311.66x = 15,467.46 × 2,520.47
  4. Step 4: Simplify right side
    10,311.66x = 38,985,268.91
  5. Step 5: Solve for x
    x = 38,985,268.91/10,311.66
  6. Step 6: Final answer
    x = 3,780.70

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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.