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Finding the Fourth Proportional to 10,348.10, 15,524.56 and 2,952.66

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Solution

The fourth proportional to 10,348.10, 15,524.56 and 2,952.66 is: 4,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.10 : 15,524.56 = 2,952.66 : x
  2. Step 2: Convert to fraction form
    10,348.10/15,524.56 = 2,952.66/x
  3. Step 3: Cross multiply
    10,348.10x = 15,524.56 × 2,952.66
  4. Step 4: Simplify right side
    10,348.10x = 45,838,747.33
  5. Step 5: Solve for x
    x = 45,838,747.33/10,348.10
  6. Step 6: Final answer
    x = 4,429.68

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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.