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Finding the Fourth Proportional to 11,247.40, 15,531.78 and 7,532.20

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Solution

The fourth proportional to 11,247.40, 15,531.78 and 7,532.20 is: 10,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.40 : 15,531.78 = 7,532.20 : x
  2. Step 2: Convert to fraction form
    11,247.40/15,531.78 = 7,532.20/x
  3. Step 3: Cross multiply
    11,247.40x = 15,531.78 × 7,532.20
  4. Step 4: Simplify right side
    11,247.40x = 116,988,473.32
  5. Step 5: Solve for x
    x = 116,988,473.32/11,247.40
  6. Step 6: Final answer
    x = 10,401.38

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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.