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Finding the Fourth Proportional to 6,882.60, 10,325.34 and 2,265

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Solution

The fourth proportional to 6,882.60, 10,325.34 and 2,265 is: 3,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.60 : 10,325.34 = 2,265 : x
  2. Step 2: Convert to fraction form
    6,882.60/10,325.34 = 2,265/x
  3. Step 3: Cross multiply
    6,882.60x = 10,325.34 × 2,265
  4. Step 4: Simplify right side
    6,882.60x = 23,386,895.10
  5. Step 5: Solve for x
    x = 23,386,895.10/6,882.60
  6. Step 6: Final answer
    x = 3,397.97

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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.