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Finding the Fourth Proportional to 11,119.17, 15,344.22 and 6,083.38

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Solution

The fourth proportional to 11,119.17, 15,344.22 and 6,083.38 is: 8,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.17 : 15,344.22 = 6,083.38 : x
  2. Step 2: Convert to fraction form
    11,119.17/15,344.22 = 6,083.38/x
  3. Step 3: Cross multiply
    11,119.17x = 15,344.22 × 6,083.38
  4. Step 4: Simplify right side
    11,119.17x = 93,344,682.70
  5. Step 5: Solve for x
    x = 93,344,682.70/11,119.17
  6. Step 6: Final answer
    x = 8,394.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.