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Finding the Fourth Proportional to 10,443.70, 15,627.12 and 6,286.24

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Solution

The fourth proportional to 10,443.70, 15,627.12 and 6,286.24 is: 9,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.70 : 15,627.12 = 6,286.24 : x
  2. Step 2: Convert to fraction form
    10,443.70/15,627.12 = 6,286.24/x
  3. Step 3: Cross multiply
    10,443.70x = 15,627.12 × 6,286.24
  4. Step 4: Simplify right side
    10,443.70x = 98,235,826.83
  5. Step 5: Solve for x
    x = 98,235,826.83/10,443.70
  6. Step 6: Final answer
    x = 9,406.23

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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.