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Finding the Fourth Proportional to 10,988.76, 15,164.49 and 5,952.99

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Solution

The fourth proportional to 10,988.76, 15,164.49 and 5,952.99 is: 8,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.76 : 15,164.49 = 5,952.99 : x
  2. Step 2: Convert to fraction form
    10,988.76/15,164.49 = 5,952.99/x
  3. Step 3: Cross multiply
    10,988.76x = 15,164.49 × 5,952.99
  4. Step 4: Simplify right side
    10,988.76x = 90,274,057.33
  5. Step 5: Solve for x
    x = 90,274,057.33/10,988.76
  6. Step 6: Final answer
    x = 8,215.13

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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.