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Finding the Fourth Proportional to 10,952.20, 15,114.39 and 5,984.20

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Solution

The fourth proportional to 10,952.20, 15,114.39 and 5,984.20 is: 8,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.20 : 15,114.39 = 5,984.20 : x
  2. Step 2: Convert to fraction form
    10,952.20/15,114.39 = 5,984.20/x
  3. Step 3: Cross multiply
    10,952.20x = 15,114.39 × 5,984.20
  4. Step 4: Simplify right side
    10,952.20x = 90,447,532.64
  5. Step 5: Solve for x
    x = 90,447,532.64/10,952.20
  6. Step 6: Final answer
    x = 8,258.39

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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.