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Finding the Fourth Proportional to 11,778.13, 16,253.06 and 6,742.39

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Solution

The fourth proportional to 11,778.13, 16,253.06 and 6,742.39 is: 9,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.13 : 16,253.06 = 6,742.39 : x
  2. Step 2: Convert to fraction form
    11,778.13/16,253.06 = 6,742.39/x
  3. Step 3: Cross multiply
    11,778.13x = 16,253.06 × 6,742.39
  4. Step 4: Simplify right side
    11,778.13x = 109,584,435.50
  5. Step 5: Solve for x
    x = 109,584,435.50/11,778.13
  6. Step 6: Final answer
    x = 9,304.06

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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.