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Finding the Fourth Proportional to 7,454.50, 10,287.23 and 4,142.50

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Solution

The fourth proportional to 7,454.50, 10,287.23 and 4,142.50 is: 5,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.50 : 10,287.23 = 4,142.50 : x
  2. Step 2: Convert to fraction form
    7,454.50/10,287.23 = 4,142.50/x
  3. Step 3: Cross multiply
    7,454.50x = 10,287.23 × 4,142.50
  4. Step 4: Simplify right side
    7,454.50x = 42,614,850.28
  5. Step 5: Solve for x
    x = 42,614,850.28/7,454.50
  6. Step 6: Final answer
    x = 5,716.66

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