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Finding the Fourth Proportional to 8,353.50, 12,531.66 and 2,807.37

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Solution

The fourth proportional to 8,353.50, 12,531.66 and 2,807.37 is: 4,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.50 : 12,531.66 = 2,807.37 : x
  2. Step 2: Convert to fraction form
    8,353.50/12,531.66 = 2,807.37/x
  3. Step 3: Cross multiply
    8,353.50x = 12,531.66 × 2,807.37
  4. Step 4: Simplify right side
    8,353.50x = 35,181,006.33
  5. Step 5: Solve for x
    x = 35,181,006.33/8,353.50
  6. Step 6: Final answer
    x = 4,211.53

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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.