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Finding the Fourth Proportional to 10,520.08, 15,780.24 and 7,223.20

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Solution

The fourth proportional to 10,520.08, 15,780.24 and 7,223.20 is: 10,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.08 : 15,780.24 = 7,223.20 : x
  2. Step 2: Convert to fraction form
    10,520.08/15,780.24 = 7,223.20/x
  3. Step 3: Cross multiply
    10,520.08x = 15,780.24 × 7,223.20
  4. Step 4: Simplify right side
    10,520.08x = 113,983,829.57
  5. Step 5: Solve for x
    x = 113,983,829.57/10,520.08
  6. Step 6: Final answer
    x = 10,834.88

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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.