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Finding the Fourth Proportional to 7,391.43, 10,200.39 and 4,205.18

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Solution

The fourth proportional to 7,391.43, 10,200.39 and 4,205.18 is: 5,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.43 : 10,200.39 = 4,205.18 : x
  2. Step 2: Convert to fraction form
    7,391.43/10,200.39 = 4,205.18/x
  3. Step 3: Cross multiply
    7,391.43x = 10,200.39 × 4,205.18
  4. Step 4: Simplify right side
    7,391.43x = 42,894,425.02
  5. Step 5: Solve for x
    x = 42,894,425.02/7,391.43
  6. Step 6: Final answer
    x = 5,803.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.