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Finding the Fourth Proportional to 7,391.46, 10,200.42 and 4,034.49

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Solution

The fourth proportional to 7,391.46, 10,200.42 and 4,034.49 is: 5,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.46 : 10,200.42 = 4,034.49 : x
  2. Step 2: Convert to fraction form
    7,391.46/10,200.42 = 4,034.49/x
  3. Step 3: Cross multiply
    7,391.46x = 10,200.42 × 4,034.49
  4. Step 4: Simplify right side
    7,391.46x = 41,153,492.49
  5. Step 5: Solve for x
    x = 41,153,492.49/7,391.46
  6. Step 6: Final answer
    x = 5,567.71

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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.