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Finding the Fourth Proportional to 11,109.84, 15,331.68 and 6,073.97

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Solution

The fourth proportional to 11,109.84, 15,331.68 and 6,073.97 is: 8,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.84 : 15,331.68 = 6,073.97 : x
  2. Step 2: Convert to fraction form
    11,109.84/15,331.68 = 6,073.97/x
  3. Step 3: Cross multiply
    11,109.84x = 15,331.68 × 6,073.97
  4. Step 4: Simplify right side
    11,109.84x = 93,124,173.95
  5. Step 5: Solve for x
    x = 93,124,173.95/11,109.84
  6. Step 6: Final answer
    x = 8,382.13

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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.