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Finding the Fourth Proportional to 6,158.43, 9,232.13 and 2,260.11

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Solution

The fourth proportional to 6,158.43, 9,232.13 and 2,260.11 is: 3,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.43 : 9,232.13 = 2,260.11 : x
  2. Step 2: Convert to fraction form
    6,158.43/9,232.13 = 2,260.11/x
  3. Step 3: Cross multiply
    6,158.43x = 9,232.13 × 2,260.11
  4. Step 4: Simplify right side
    6,158.43x = 20,865,618.03
  5. Step 5: Solve for x
    x = 20,865,618.03/6,158.43
  6. Step 6: Final answer
    x = 3,388.14

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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.