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Finding the Fourth Proportional to 7,391.64, 10,200.49 and 4,247.63

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Solution

The fourth proportional to 7,391.64, 10,200.49 and 4,247.63 is: 5,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.64 : 10,200.49 = 4,247.63 : x
  2. Step 2: Convert to fraction form
    7,391.64/10,200.49 = 4,247.63/x
  3. Step 3: Cross multiply
    7,391.64x = 10,200.49 × 4,247.63
  4. Step 4: Simplify right side
    7,391.64x = 43,327,907.34
  5. Step 5: Solve for x
    x = 43,327,907.34/7,391.64
  6. Step 6: Final answer
    x = 5,861.74

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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.