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Finding the Fourth Proportional to 7,808.34, 11,704.35 and 3,422.10

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Solution

The fourth proportional to 7,808.34, 11,704.35 and 3,422.10 is: 5,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.34 : 11,704.35 = 3,422.10 : x
  2. Step 2: Convert to fraction form
    7,808.34/11,704.35 = 3,422.10/x
  3. Step 3: Cross multiply
    7,808.34x = 11,704.35 × 3,422.10
  4. Step 4: Simplify right side
    7,808.34x = 40,053,456.14
  5. Step 5: Solve for x
    x = 40,053,456.14/7,808.34
  6. Step 6: Final answer
    x = 5,129.57

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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.