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Finding the Fourth Proportional to 11,767.68, 17,651.52 and 4,374

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Solution

The fourth proportional to 11,767.68, 17,651.52 and 4,374 is: 6,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.68 : 17,651.52 = 4,374 : x
  2. Step 2: Convert to fraction form
    11,767.68/17,651.52 = 4,374/x
  3. Step 3: Cross multiply
    11,767.68x = 17,651.52 × 4,374
  4. Step 4: Simplify right side
    11,767.68x = 77,207,748.48
  5. Step 5: Solve for x
    x = 77,207,748.48/11,767.68
  6. Step 6: Final answer
    x = 6,561

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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.