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Finding the Fourth Proportional to 8,242.02, 12,350.88 and 7,563.24

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Solution

The fourth proportional to 8,242.02, 12,350.88 and 7,563.24 is: 11,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.02 : 12,350.88 = 7,563.24 : x
  2. Step 2: Convert to fraction form
    8,242.02/12,350.88 = 7,563.24/x
  3. Step 3: Cross multiply
    8,242.02x = 12,350.88 × 7,563.24
  4. Step 4: Simplify right side
    8,242.02x = 93,412,669.65
  5. Step 5: Solve for x
    x = 93,412,669.65/8,242.02
  6. Step 6: Final answer
    x = 11,333.71

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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.