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Finding the Fourth Proportional to 10,524.33, 15,808.35 and 8,348.27

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Solution

The fourth proportional to 10,524.33, 15,808.35 and 8,348.27 is: 12,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.33 : 15,808.35 = 8,348.27 : x
  2. Step 2: Convert to fraction form
    10,524.33/15,808.35 = 8,348.27/x
  3. Step 3: Cross multiply
    10,524.33x = 15,808.35 × 8,348.27
  4. Step 4: Simplify right side
    10,524.33x = 131,972,295.01
  5. Step 5: Solve for x
    x = 131,972,295.01/10,524.33
  6. Step 6: Final answer
    x = 12,539.73

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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.