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Finding the Fourth Proportional to 8,418.86, 11,617.97 and 4,642.02

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Solution

The fourth proportional to 8,418.86, 11,617.97 and 4,642.02 is: 6,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.86 : 11,617.97 = 4,642.02 : x
  2. Step 2: Convert to fraction form
    8,418.86/11,617.97 = 4,642.02/x
  3. Step 3: Cross multiply
    8,418.86x = 11,617.97 × 4,642.02
  4. Step 4: Simplify right side
    8,418.86x = 53,930,825.89
  5. Step 5: Solve for x
    x = 53,930,825.89/8,418.86
  6. Step 6: Final answer
    x = 6,405.96

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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.