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Finding the Fourth Proportional to 7,589.16, 10,472.28 and 4,231.66

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Solution

The fourth proportional to 7,589.16, 10,472.28 and 4,231.66 is: 5,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.16 : 10,472.28 = 4,231.66 : x
  2. Step 2: Convert to fraction form
    7,589.16/10,472.28 = 4,231.66/x
  3. Step 3: Cross multiply
    7,589.16x = 10,472.28 × 4,231.66
  4. Step 4: Simplify right side
    7,589.16x = 44,315,128.38
  5. Step 5: Solve for x
    x = 44,315,128.38/7,589.16
  6. Step 6: Final answer
    x = 5,839.27

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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.