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Finding the Fourth Proportional to 26,862.76, 40,284.61 and 7,882.10

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Solution

The fourth proportional to 26,862.76, 40,284.61 and 7,882.10 is: 11,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862.76 : 40,284.61 = 7,882.10 : x
  2. Step 2: Convert to fraction form
    26,862.76/40,284.61 = 7,882.10/x
  3. Step 3: Cross multiply
    26,862.76x = 40,284.61 × 7,882.10
  4. Step 4: Simplify right side
    26,862.76x = 317,527,324.48
  5. Step 5: Solve for x
    x = 317,527,324.48/26,862.76
  6. Step 6: Final answer
    x = 11,820.35

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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.