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Finding the Fourth Proportional to 10,199.52, 15,327.02 and 5,272.90

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Solution

The fourth proportional to 10,199.52, 15,327.02 and 5,272.90 is: 7,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.52 : 15,327.02 = 5,272.90 : x
  2. Step 2: Convert to fraction form
    10,199.52/15,327.02 = 5,272.90/x
  3. Step 3: Cross multiply
    10,199.52x = 15,327.02 × 5,272.90
  4. Step 4: Simplify right side
    10,199.52x = 80,817,818.62
  5. Step 5: Solve for x
    x = 80,817,818.62/10,199.52
  6. Step 6: Final answer
    x = 7,923.69

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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.