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Finding the Fourth Proportional to 7,728.96, 10,660.32 and 4,897.20

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Solution

The fourth proportional to 7,728.96, 10,660.32 and 4,897.20 is: 6,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.96 : 10,660.32 = 4,897.20 : x
  2. Step 2: Convert to fraction form
    7,728.96/10,660.32 = 4,897.20/x
  3. Step 3: Cross multiply
    7,728.96x = 10,660.32 × 4,897.20
  4. Step 4: Simplify right side
    7,728.96x = 52,205,719.10
  5. Step 5: Solve for x
    x = 52,205,719.10/7,728.96
  6. Step 6: Final answer
    x = 6,754.56

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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.