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Finding the Fourth Proportional to 11,006.84, 15,189.38 and 5,971.16

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Solution

The fourth proportional to 11,006.84, 15,189.38 and 5,971.16 is: 8,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.84 : 15,189.38 = 5,971.16 : x
  2. Step 2: Convert to fraction form
    11,006.84/15,189.38 = 5,971.16/x
  3. Step 3: Cross multiply
    11,006.84x = 15,189.38 × 5,971.16
  4. Step 4: Simplify right side
    11,006.84x = 90,698,218.28
  5. Step 5: Solve for x
    x = 90,698,218.28/11,006.84
  6. Step 6: Final answer
    x = 8,240.17

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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.