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Finding the Fourth Proportional to 7,399.52, 10,206.24 and 5,274.80

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Solution

The fourth proportional to 7,399.52, 10,206.24 and 5,274.80 is: 7,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.52 : 10,206.24 = 5,274.80 : x
  2. Step 2: Convert to fraction form
    7,399.52/10,206.24 = 5,274.80/x
  3. Step 3: Cross multiply
    7,399.52x = 10,206.24 × 5,274.80
  4. Step 4: Simplify right side
    7,399.52x = 53,835,874.75
  5. Step 5: Solve for x
    x = 53,835,874.75/7,399.52
  6. Step 6: Final answer
    x = 7,275.59

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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.