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Finding the Fourth Proportional to 7,242.32, 10,863.64 and 6,154.32

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Solution

The fourth proportional to 7,242.32, 10,863.64 and 6,154.32 is: 9,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.32 : 10,863.64 = 6,154.32 : x
  2. Step 2: Convert to fraction form
    7,242.32/10,863.64 = 6,154.32/x
  3. Step 3: Cross multiply
    7,242.32x = 10,863.64 × 6,154.32
  4. Step 4: Simplify right side
    7,242.32x = 66,858,316.92
  5. Step 5: Solve for x
    x = 66,858,316.92/7,242.32
  6. Step 6: Final answer
    x = 9,231.62

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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.