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Finding the Fourth Proportional to 10,146.78, 15,213.02 and 3,901.55

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Solution

The fourth proportional to 10,146.78, 15,213.02 and 3,901.55 is: 5,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.78 : 15,213.02 = 3,901.55 : x
  2. Step 2: Convert to fraction form
    10,146.78/15,213.02 = 3,901.55/x
  3. Step 3: Cross multiply
    10,146.78x = 15,213.02 × 3,901.55
  4. Step 4: Simplify right side
    10,146.78x = 59,354,262.61
  5. Step 5: Solve for x
    x = 59,354,262.61/10,146.78
  6. Step 6: Final answer
    x = 5,849.57

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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.