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Finding the Fourth Proportional to 7,218.24, 9,960.48 and 5,729.76

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Solution

The fourth proportional to 7,218.24, 9,960.48 and 5,729.76 is: 7,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.24 : 9,960.48 = 5,729.76 : x
  2. Step 2: Convert to fraction form
    7,218.24/9,960.48 = 5,729.76/x
  3. Step 3: Cross multiply
    7,218.24x = 9,960.48 × 5,729.76
  4. Step 4: Simplify right side
    7,218.24x = 57,071,159.88
  5. Step 5: Solve for x
    x = 57,071,159.88/7,218.24
  6. Step 6: Final answer
    x = 7,906.52

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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.