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Finding the Fourth Proportional to 8,325.72, 12,474 and 5,032.67

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Solution

The fourth proportional to 8,325.72, 12,474 and 5,032.67 is: 7,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.72 : 12,474 = 5,032.67 : x
  2. Step 2: Convert to fraction form
    8,325.72/12,474 = 5,032.67/x
  3. Step 3: Cross multiply
    8,325.72x = 12,474 × 5,032.67
  4. Step 4: Simplify right side
    8,325.72x = 62,777,463.21
  5. Step 5: Solve for x
    x = 62,777,463.21/8,325.72
  6. Step 6: Final answer
    x = 7,540.18

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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.