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Finding the Fourth Proportional to 10,162.56, 15,245.28 and 3,143.17

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Solution

The fourth proportional to 10,162.56, 15,245.28 and 3,143.17 is: 4,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.56 : 15,245.28 = 3,143.17 : x
  2. Step 2: Convert to fraction form
    10,162.56/15,245.28 = 3,143.17/x
  3. Step 3: Cross multiply
    10,162.56x = 15,245.28 × 3,143.17
  4. Step 4: Simplify right side
    10,162.56x = 47,918,525.79
  5. Step 5: Solve for x
    x = 47,918,525.79/10,162.56
  6. Step 6: Final answer
    x = 4,715.20

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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.