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Finding the Fourth Proportional to 10,122.75, 15,191.96 and 7,024.50

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Solution

The fourth proportional to 10,122.75, 15,191.96 and 7,024.50 is: 10,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.75 : 15,191.96 = 7,024.50 : x
  2. Step 2: Convert to fraction form
    10,122.75/15,191.96 = 7,024.50/x
  3. Step 3: Cross multiply
    10,122.75x = 15,191.96 × 7,024.50
  4. Step 4: Simplify right side
    10,122.75x = 106,715,887.90
  5. Step 5: Solve for x
    x = 106,715,887.90/10,122.75
  6. Step 6: Final answer
    x = 10,542.18

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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.