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Finding the Fourth Proportional to 10,474.40, 15,711.84 and 2,683.20

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Solution

The fourth proportional to 10,474.40, 15,711.84 and 2,683.20 is: 4,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.40 : 15,711.84 = 2,683.20 : x
  2. Step 2: Convert to fraction form
    10,474.40/15,711.84 = 2,683.20/x
  3. Step 3: Cross multiply
    10,474.40x = 15,711.84 × 2,683.20
  4. Step 4: Simplify right side
    10,474.40x = 42,158,009.09
  5. Step 5: Solve for x
    x = 42,158,009.09/10,474.40
  6. Step 6: Final answer
    x = 4,024.86

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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.