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Finding the Fourth Proportional to 7,391.47, 10,200.45 and 4,034.50

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Solution

The fourth proportional to 7,391.47, 10,200.45 and 4,034.50 is: 5,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.47 : 10,200.45 = 4,034.50 : x
  2. Step 2: Convert to fraction form
    7,391.47/10,200.45 = 4,034.50/x
  3. Step 3: Cross multiply
    7,391.47x = 10,200.45 × 4,034.50
  4. Step 4: Simplify right side
    7,391.47x = 41,153,715.53
  5. Step 5: Solve for x
    x = 41,153,715.53/7,391.47
  6. Step 6: Final answer
    x = 5,567.73

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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.