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Finding the Fourth Proportional to 8,248.44, 12,369.62 and 5,782

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Solution

The fourth proportional to 8,248.44, 12,369.62 and 5,782 is: 8,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.44 : 12,369.62 = 5,782 : x
  2. Step 2: Convert to fraction form
    8,248.44/12,369.62 = 5,782/x
  3. Step 3: Cross multiply
    8,248.44x = 12,369.62 × 5,782
  4. Step 4: Simplify right side
    8,248.44x = 71,521,142.84
  5. Step 5: Solve for x
    x = 71,521,142.84/8,248.44
  6. Step 6: Final answer
    x = 8,670.87

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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.