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Finding the Fourth Proportional to 10,452.40, 15,678.51 and 2,661.20

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Solution

The fourth proportional to 10,452.40, 15,678.51 and 2,661.20 is: 3,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.40 : 15,678.51 = 2,661.20 : x
  2. Step 2: Convert to fraction form
    10,452.40/15,678.51 = 2,661.20/x
  3. Step 3: Cross multiply
    10,452.40x = 15,678.51 × 2,661.20
  4. Step 4: Simplify right side
    10,452.40x = 41,723,650.81
  5. Step 5: Solve for x
    x = 41,723,650.81/10,452.40
  6. Step 6: Final answer
    x = 3,991.78

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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.