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Finding the Fourth Proportional to 10,767.62, 14,859.25 and 5,987.50

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Solution

The fourth proportional to 10,767.62, 14,859.25 and 5,987.50 is: 8,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.62 : 14,859.25 = 5,987.50 : x
  2. Step 2: Convert to fraction form
    10,767.62/14,859.25 = 5,987.50/x
  3. Step 3: Cross multiply
    10,767.62x = 14,859.25 × 5,987.50
  4. Step 4: Simplify right side
    10,767.62x = 88,969,707.26
  5. Step 5: Solve for x
    x = 88,969,707.26/10,767.62
  6. Step 6: Final answer
    x = 8,262.71

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