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Finding the Fourth Proportional to 10,642.50, 15,942.96 and 8,165.18

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Solution

The fourth proportional to 10,642.50, 15,942.96 and 8,165.18 is: 12,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.50 : 15,942.96 = 8,165.18 : x
  2. Step 2: Convert to fraction form
    10,642.50/15,942.96 = 8,165.18/x
  3. Step 3: Cross multiply
    10,642.50x = 15,942.96 × 8,165.18
  4. Step 4: Simplify right side
    10,642.50x = 130,177,177.99
  5. Step 5: Solve for x
    x = 130,177,177.99/10,642.50
  6. Step 6: Final answer
    x = 12,231.82

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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.