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Finding the Fourth Proportional to 7,808.34, 11,711.16 and 2,614.20

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Solution

The fourth proportional to 7,808.34, 11,711.16 and 2,614.20 is: 3,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.34 : 11,711.16 = 2,614.20 : x
  2. Step 2: Convert to fraction form
    7,808.34/11,711.16 = 2,614.20/x
  3. Step 3: Cross multiply
    7,808.34x = 11,711.16 × 2,614.20
  4. Step 4: Simplify right side
    7,808.34x = 30,615,314.47
  5. Step 5: Solve for x
    x = 30,615,314.47/7,808.34
  6. Step 6: Final answer
    x = 3,920.85

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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.