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Finding the Fourth Proportional to 7,764.96, 10,715.31 and 4,228.20

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Solution

The fourth proportional to 7,764.96, 10,715.31 and 4,228.20 is: 5,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.96 : 10,715.31 = 4,228.20 : x
  2. Step 2: Convert to fraction form
    7,764.96/10,715.31 = 4,228.20/x
  3. Step 3: Cross multiply
    7,764.96x = 10,715.31 × 4,228.20
  4. Step 4: Simplify right side
    7,764.96x = 45,306,473.74
  5. Step 5: Solve for x
    x = 45,306,473.74/7,764.96
  6. Step 6: Final answer
    x = 5,834.73

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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.