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Finding the Fourth Proportional to 11,642.22, 16,065.80 and 6,337.04

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Solution

The fourth proportional to 11,642.22, 16,065.80 and 6,337.04 is: 8,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.22 : 16,065.80 = 6,337.04 : x
  2. Step 2: Convert to fraction form
    11,642.22/16,065.80 = 6,337.04/x
  3. Step 3: Cross multiply
    11,642.22x = 16,065.80 × 6,337.04
  4. Step 4: Simplify right side
    11,642.22x = 101,809,617.23
  5. Step 5: Solve for x
    x = 101,809,617.23/11,642.22
  6. Step 6: Final answer
    x = 8,744.86

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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.