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Finding the Fourth Proportional to 6,709.62, 10,062.09 and 2,325.90

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Solution

The fourth proportional to 6,709.62, 10,062.09 and 2,325.90 is: 3,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.62 : 10,062.09 = 2,325.90 : x
  2. Step 2: Convert to fraction form
    6,709.62/10,062.09 = 2,325.90/x
  3. Step 3: Cross multiply
    6,709.62x = 10,062.09 × 2,325.90
  4. Step 4: Simplify right side
    6,709.62x = 23,403,415.13
  5. Step 5: Solve for x
    x = 23,403,415.13/6,709.62
  6. Step 6: Final answer
    x = 3,488.04

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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.