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Finding the Fourth Proportional to 10,132.92, 15,199.26 and 3,207.42

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Solution

The fourth proportional to 10,132.92, 15,199.26 and 3,207.42 is: 4,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.92 : 15,199.26 = 3,207.42 : x
  2. Step 2: Convert to fraction form
    10,132.92/15,199.26 = 3,207.42/x
  3. Step 3: Cross multiply
    10,132.92x = 15,199.26 × 3,207.42
  4. Step 4: Simplify right side
    10,132.92x = 48,750,410.51
  5. Step 5: Solve for x
    x = 48,750,410.51/10,132.92
  6. Step 6: Final answer
    x = 4,811.09

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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.