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Finding the Fourth Proportional to 8,418.92, 11,617.57 and 4,642.10

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Solution

The fourth proportional to 8,418.92, 11,617.57 and 4,642.10 is: 6,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.92 : 11,617.57 = 4,642.10 : x
  2. Step 2: Convert to fraction form
    8,418.92/11,617.57 = 4,642.10/x
  3. Step 3: Cross multiply
    8,418.92x = 11,617.57 × 4,642.10
  4. Step 4: Simplify right side
    8,418.92x = 53,929,952.21
  5. Step 5: Solve for x
    x = 53,929,952.21/8,418.92
  6. Step 6: Final answer
    x = 6,405.81

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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.