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Finding the Fourth Proportional to 7,111.66, 10,668.75 and 2,432.19

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Solution

The fourth proportional to 7,111.66, 10,668.75 and 2,432.19 is: 3,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.66 : 10,668.75 = 2,432.19 : x
  2. Step 2: Convert to fraction form
    7,111.66/10,668.75 = 2,432.19/x
  3. Step 3: Cross multiply
    7,111.66x = 10,668.75 × 2,432.19
  4. Step 4: Simplify right side
    7,111.66x = 25,948,387.05
  5. Step 5: Solve for x
    x = 25,948,387.05/7,111.66
  6. Step 6: Final answer
    x = 3,648.71

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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.