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Finding the Fourth Proportional to 10,524.57, 15,808.73 and 8,348.51

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Solution

The fourth proportional to 10,524.57, 15,808.73 and 8,348.51 is: 12,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.57 : 15,808.73 = 8,348.51 : x
  2. Step 2: Convert to fraction form
    10,524.57/15,808.73 = 8,348.51/x
  3. Step 3: Cross multiply
    10,524.57x = 15,808.73 × 8,348.51
  4. Step 4: Simplify right side
    10,524.57x = 131,979,340.49
  5. Step 5: Solve for x
    x = 131,979,340.49/10,524.57
  6. Step 6: Final answer
    x = 12,540.12

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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.