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Finding the Fourth Proportional to 7,454.32, 10,287.32 and 4,142.32

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Solution

The fourth proportional to 7,454.32, 10,287.32 and 4,142.32 is: 5,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.32 : 10,287.32 = 4,142.32 : x
  2. Step 2: Convert to fraction form
    7,454.32/10,287.32 = 4,142.32/x
  3. Step 3: Cross multiply
    7,454.32x = 10,287.32 × 4,142.32
  4. Step 4: Simplify right side
    7,454.32x = 42,613,371.38
  5. Step 5: Solve for x
    x = 42,613,371.38/7,454.32
  6. Step 6: Final answer
    x = 5,716.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.