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Finding the Fourth Proportional to 8,377.24, 11,560.38 and 4,651

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Solution

The fourth proportional to 8,377.24, 11,560.38 and 4,651 is: 6,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.24 : 11,560.38 = 4,651 : x
  2. Step 2: Convert to fraction form
    8,377.24/11,560.38 = 4,651/x
  3. Step 3: Cross multiply
    8,377.24x = 11,560.38 × 4,651
  4. Step 4: Simplify right side
    8,377.24x = 53,767,327.38
  5. Step 5: Solve for x
    x = 53,767,327.38/8,377.24
  6. Step 6: Final answer
    x = 6,418.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.