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Finding the Fourth Proportional to 10,347.25, 15,523.94 and 5,967.85

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Solution

The fourth proportional to 10,347.25, 15,523.94 and 5,967.85 is: 8,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.25 : 15,523.94 = 5,967.85 : x
  2. Step 2: Convert to fraction form
    10,347.25/15,523.94 = 5,967.85/x
  3. Step 3: Cross multiply
    10,347.25x = 15,523.94 × 5,967.85
  4. Step 4: Simplify right side
    10,347.25x = 92,644,545.33
  5. Step 5: Solve for x
    x = 92,644,545.33/10,347.25
  6. Step 6: Final answer
    x = 8,953.54

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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.