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Finding the Fourth Proportional to 10,142.67, 15,216.17 and 4,299.15

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Solution

The fourth proportional to 10,142.67, 15,216.17 and 4,299.15 is: 6,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.67 : 15,216.17 = 4,299.15 : x
  2. Step 2: Convert to fraction form
    10,142.67/15,216.17 = 4,299.15/x
  3. Step 3: Cross multiply
    10,142.67x = 15,216.17 × 4,299.15
  4. Step 4: Simplify right side
    10,142.67x = 65,416,575.76
  5. Step 5: Solve for x
    x = 65,416,575.76/10,142.67
  6. Step 6: Final answer
    x = 6,449.64

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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.