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Finding the Fourth Proportional to 10,348.66, 15,524.34 and 4,801.24

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Solution

The fourth proportional to 10,348.66, 15,524.34 and 4,801.24 is: 7,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.66 : 15,524.34 = 4,801.24 : x
  2. Step 2: Convert to fraction form
    10,348.66/15,524.34 = 4,801.24/x
  3. Step 3: Cross multiply
    10,348.66x = 15,524.34 × 4,801.24
  4. Step 4: Simplify right side
    10,348.66x = 74,536,082.18
  5. Step 5: Solve for x
    x = 74,536,082.18/10,348.66
  6. Step 6: Final answer
    x = 7,202.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.