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Finding the Fourth Proportional to 10,232.70, 15,343.17 and 4,965.90

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Solution

The fourth proportional to 10,232.70, 15,343.17 and 4,965.90 is: 7,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.70 : 15,343.17 = 4,965.90 : x
  2. Step 2: Convert to fraction form
    10,232.70/15,343.17 = 4,965.90/x
  3. Step 3: Cross multiply
    10,232.70x = 15,343.17 × 4,965.90
  4. Step 4: Simplify right side
    10,232.70x = 76,192,647.90
  5. Step 5: Solve for x
    x = 76,192,647.90/10,232.70
  6. Step 6: Final answer
    x = 7,446.00

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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.