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Finding the Fourth Proportional to 7,465.57, 10,296.52 and 5,227.54

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Solution

The fourth proportional to 7,465.57, 10,296.52 and 5,227.54 is: 7,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.57 : 10,296.52 = 5,227.54 : x
  2. Step 2: Convert to fraction form
    7,465.57/10,296.52 = 5,227.54/x
  3. Step 3: Cross multiply
    7,465.57x = 10,296.52 × 5,227.54
  4. Step 4: Simplify right side
    7,465.57x = 53,825,431.35
  5. Step 5: Solve for x
    x = 53,825,431.35/7,465.57
  6. Step 6: Final answer
    x = 7,209.82

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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.