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Finding the Fourth Proportional to 10,524.69, 15,808.92 and 8,348.63

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Solution

The fourth proportional to 10,524.69, 15,808.92 and 8,348.63 is: 12,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.69 : 15,808.92 = 8,348.63 : x
  2. Step 2: Convert to fraction form
    10,524.69/15,808.92 = 8,348.63/x
  3. Step 3: Cross multiply
    10,524.69x = 15,808.92 × 8,348.63
  4. Step 4: Simplify right side
    10,524.69x = 131,982,744.74
  5. Step 5: Solve for x
    x = 131,982,744.74/10,524.69
  6. Step 6: Final answer
    x = 12,540.30

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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.