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Finding the Fourth Proportional to 7,531.50, 11,304.23 and 5,425.30

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Solution

The fourth proportional to 7,531.50, 11,304.23 and 5,425.30 is: 8,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.50 : 11,304.23 = 5,425.30 : x
  2. Step 2: Convert to fraction form
    7,531.50/11,304.23 = 5,425.30/x
  3. Step 3: Cross multiply
    7,531.50x = 11,304.23 × 5,425.30
  4. Step 4: Simplify right side
    7,531.50x = 61,328,839.02
  5. Step 5: Solve for x
    x = 61,328,839.02/7,531.50
  6. Step 6: Final answer
    x = 8,142.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.