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Finding the Fourth Proportional to 10,348.88, 15,524.04 and 3,428.24

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Solution

The fourth proportional to 10,348.88, 15,524.04 and 3,428.24 is: 5,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.88 : 15,524.04 = 3,428.24 : x
  2. Step 2: Convert to fraction form
    10,348.88/15,524.04 = 3,428.24/x
  3. Step 3: Cross multiply
    10,348.88x = 15,524.04 × 3,428.24
  4. Step 4: Simplify right side
    10,348.88x = 53,220,134.89
  5. Step 5: Solve for x
    x = 53,220,134.89/10,348.88
  6. Step 6: Final answer
    x = 5,142.60

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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.