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Finding the Fourth Proportional to 7,145.82, 10,711.44 and 3,252.96

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Solution

The fourth proportional to 7,145.82, 10,711.44 and 3,252.96 is: 4,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.82 : 10,711.44 = 3,252.96 : x
  2. Step 2: Convert to fraction form
    7,145.82/10,711.44 = 3,252.96/x
  3. Step 3: Cross multiply
    7,145.82x = 10,711.44 × 3,252.96
  4. Step 4: Simplify right side
    7,145.82x = 34,843,885.86
  5. Step 5: Solve for x
    x = 34,843,885.86/7,145.82
  6. Step 6: Final answer
    x = 4,876.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.