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Finding the Fourth Proportional to 8,162.01, 12,242.33 and 5,780.24

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Solution

The fourth proportional to 8,162.01, 12,242.33 and 5,780.24 is: 8,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.01 : 12,242.33 = 5,780.24 : x
  2. Step 2: Convert to fraction form
    8,162.01/12,242.33 = 5,780.24/x
  3. Step 3: Cross multiply
    8,162.01x = 12,242.33 × 5,780.24
  4. Step 4: Simplify right side
    8,162.01x = 70,763,583.03
  5. Step 5: Solve for x
    x = 70,763,583.03/8,162.01
  6. Step 6: Final answer
    x = 8,669.88

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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.