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Finding the Fourth Proportional to 7,728.06, 10,665.24 and 7,449.24

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Solution

The fourth proportional to 7,728.06, 10,665.24 and 7,449.24 is: 10,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.06 : 10,665.24 = 7,449.24 : x
  2. Step 2: Convert to fraction form
    7,728.06/10,665.24 = 7,449.24/x
  3. Step 3: Cross multiply
    7,728.06x = 10,665.24 × 7,449.24
  4. Step 4: Simplify right side
    7,728.06x = 79,447,932.42
  5. Step 5: Solve for x
    x = 79,447,932.42/7,728.06
  6. Step 6: Final answer
    x = 10,280.45

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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.