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Finding the Fourth Proportional to 7,408.17, 10,224.39 and 4,220.70

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Solution

The fourth proportional to 7,408.17, 10,224.39 and 4,220.70 is: 5,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.17 : 10,224.39 = 4,220.70 : x
  2. Step 2: Convert to fraction form
    7,408.17/10,224.39 = 4,220.70/x
  3. Step 3: Cross multiply
    7,408.17x = 10,224.39 × 4,220.70
  4. Step 4: Simplify right side
    7,408.17x = 43,154,082.87
  5. Step 5: Solve for x
    x = 43,154,082.87/7,408.17
  6. Step 6: Final answer
    x = 5,825.20

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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.