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Finding the Fourth Proportional to 7,332.54, 10,105.20 and 5,233.02

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Solution

The fourth proportional to 7,332.54, 10,105.20 and 5,233.02 is: 7,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.54 : 10,105.20 = 5,233.02 : x
  2. Step 2: Convert to fraction form
    7,332.54/10,105.20 = 5,233.02/x
  3. Step 3: Cross multiply
    7,332.54x = 10,105.20 × 5,233.02
  4. Step 4: Simplify right side
    7,332.54x = 52,880,713.70
  5. Step 5: Solve for x
    x = 52,880,713.70/7,332.54
  6. Step 6: Final answer
    x = 7,211.79

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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.