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Finding the Fourth Proportional to 11,083.67, 15,294.08 and 6,778.92

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Solution

The fourth proportional to 11,083.67, 15,294.08 and 6,778.92 is: 9,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.67 : 15,294.08 = 6,778.92 : x
  2. Step 2: Convert to fraction form
    11,083.67/15,294.08 = 6,778.92/x
  3. Step 3: Cross multiply
    11,083.67x = 15,294.08 × 6,778.92
  4. Step 4: Simplify right side
    11,083.67x = 103,677,344.79
  5. Step 5: Solve for x
    x = 103,677,344.79/11,083.67
  6. Step 6: Final answer
    x = 9,354.06

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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.