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Finding the Fourth Proportional to 7,412.50, 10,229.86 and 4,268.69

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Solution

The fourth proportional to 7,412.50, 10,229.86 and 4,268.69 is: 5,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.50 : 10,229.86 = 4,268.69 : x
  2. Step 2: Convert to fraction form
    7,412.50/10,229.86 = 4,268.69/x
  3. Step 3: Cross multiply
    7,412.50x = 10,229.86 × 4,268.69
  4. Step 4: Simplify right side
    7,412.50x = 43,668,101.08
  5. Step 5: Solve for x
    x = 43,668,101.08/7,412.50
  6. Step 6: Final answer
    x = 5,891.14

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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.