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Finding the Fourth Proportional to 8,256.80, 12,386.17 and 2,994.29

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Solution

The fourth proportional to 8,256.80, 12,386.17 and 2,994.29 is: 4,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.80 : 12,386.17 = 2,994.29 : x
  2. Step 2: Convert to fraction form
    8,256.80/12,386.17 = 2,994.29/x
  3. Step 3: Cross multiply
    8,256.80x = 12,386.17 × 2,994.29
  4. Step 4: Simplify right side
    8,256.80x = 37,087,826.06
  5. Step 5: Solve for x
    x = 37,087,826.06/8,256.80
  6. Step 6: Final answer
    x = 4,491.79

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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.