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Finding the Fourth Proportional to 11,083.66, 15,294.06 and 6,778.91

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Solution

The fourth proportional to 11,083.66, 15,294.06 and 6,778.91 is: 9,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.66 : 15,294.06 = 6,778.91 : x
  2. Step 2: Convert to fraction form
    11,083.66/15,294.06 = 6,778.91/x
  3. Step 3: Cross multiply
    11,083.66x = 15,294.06 × 6,778.91
  4. Step 4: Simplify right side
    11,083.66x = 103,677,056.27
  5. Step 5: Solve for x
    x = 103,677,056.27/11,083.66
  6. Step 6: Final answer
    x = 9,354.05

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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.