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Finding the Fourth Proportional to 8,642.26, 12,960.78 and 2,400.76

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Solution

The fourth proportional to 8,642.26, 12,960.78 and 2,400.76 is: 3,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.26 : 12,960.78 = 2,400.76 : x
  2. Step 2: Convert to fraction form
    8,642.26/12,960.78 = 2,400.76/x
  3. Step 3: Cross multiply
    8,642.26x = 12,960.78 × 2,400.76
  4. Step 4: Simplify right side
    8,642.26x = 31,115,722.19
  5. Step 5: Solve for x
    x = 31,115,722.19/8,642.26
  6. Step 6: Final answer
    x = 3,600.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.