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Finding the Fourth Proportional to 7,763.28, 10,713.76 and 4,226.42

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Solution

The fourth proportional to 7,763.28, 10,713.76 and 4,226.42 is: 5,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.28 : 10,713.76 = 4,226.42 : x
  2. Step 2: Convert to fraction form
    7,763.28/10,713.76 = 4,226.42/x
  3. Step 3: Cross multiply
    7,763.28x = 10,713.76 × 4,226.42
  4. Step 4: Simplify right side
    7,763.28x = 45,280,849.54
  5. Step 5: Solve for x
    x = 45,280,849.54/7,763.28
  6. Step 6: Final answer
    x = 5,832.70

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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.