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Finding the Fourth Proportional to 10,407.80, 15,614.42 and 3,012.83

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Solution

The fourth proportional to 10,407.80, 15,614.42 and 3,012.83 is: 4,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.80 : 15,614.42 = 3,012.83 : x
  2. Step 2: Convert to fraction form
    10,407.80/15,614.42 = 3,012.83/x
  3. Step 3: Cross multiply
    10,407.80x = 15,614.42 × 3,012.83
  4. Step 4: Simplify right side
    10,407.80x = 47,043,499.87
  5. Step 5: Solve for x
    x = 47,043,499.87/10,407.80
  6. Step 6: Final answer
    x = 4,520.03

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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.