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Finding the Fourth Proportional to 10,407.87, 15,608.03 and 3,480.75

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Solution

The fourth proportional to 10,407.87, 15,608.03 and 3,480.75 is: 5,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.87 : 15,608.03 = 3,480.75 : x
  2. Step 2: Convert to fraction form
    10,407.87/15,608.03 = 3,480.75/x
  3. Step 3: Cross multiply
    10,407.87x = 15,608.03 × 3,480.75
  4. Step 4: Simplify right side
    10,407.87x = 54,327,633.02
  5. Step 5: Solve for x
    x = 54,327,633.02/10,407.87
  6. Step 6: Final answer
    x = 5,219.86

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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.