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Finding the Fourth Proportional to 10,225, 15,341.10 and 5,034.52

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Solution

The fourth proportional to 10,225, 15,341.10 and 5,034.52 is: 7,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225 : 15,341.10 = 5,034.52 : x
  2. Step 2: Convert to fraction form
    10,225/15,341.10 = 5,034.52/x
  3. Step 3: Cross multiply
    10,225x = 15,341.10 × 5,034.52
  4. Step 4: Simplify right side
    10,225x = 77,235,074.77
  5. Step 5: Solve for x
    x = 77,235,074.77/10,225
  6. Step 6: Final answer
    x = 7,553.55

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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.