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Finding the Fourth Proportional to 7,495.75, 10,344.54 and 4,138.55

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Solution

The fourth proportional to 7,495.75, 10,344.54 and 4,138.55 is: 5,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.75 : 10,344.54 = 4,138.55 : x
  2. Step 2: Convert to fraction form
    7,495.75/10,344.54 = 4,138.55/x
  3. Step 3: Cross multiply
    7,495.75x = 10,344.54 × 4,138.55
  4. Step 4: Simplify right side
    7,495.75x = 42,811,449.03
  5. Step 5: Solve for x
    x = 42,811,449.03/7,495.75
  6. Step 6: Final answer
    x = 5,711.43

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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.