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Finding the Fourth Proportional to 8,418.71, 11,617.91 and 4,642.03

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Solution

The fourth proportional to 8,418.71, 11,617.91 and 4,642.03 is: 6,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.71 : 11,617.91 = 4,642.03 : x
  2. Step 2: Convert to fraction form
    8,418.71/11,617.91 = 4,642.03/x
  3. Step 3: Cross multiply
    8,418.71x = 11,617.91 × 4,642.03
  4. Step 4: Simplify right side
    8,418.71x = 53,930,686.76
  5. Step 5: Solve for x
    x = 53,930,686.76/8,418.71
  6. Step 6: Final answer
    x = 6,406.05

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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.