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Finding the Fourth Proportional to 7,392.57, 10,197.32 and 5,400.69

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Solution

The fourth proportional to 7,392.57, 10,197.32 and 5,400.69 is: 7,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.57 : 10,197.32 = 5,400.69 : x
  2. Step 2: Convert to fraction form
    7,392.57/10,197.32 = 5,400.69/x
  3. Step 3: Cross multiply
    7,392.57x = 10,197.32 × 5,400.69
  4. Step 4: Simplify right side
    7,392.57x = 55,072,537.15
  5. Step 5: Solve for x
    x = 55,072,537.15/7,392.57
  6. Step 6: Final answer
    x = 7,449.71

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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.