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Finding the Fourth Proportional to 8,277.95, 12,414.29 and 2,730.26

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Solution

The fourth proportional to 8,277.95, 12,414.29 and 2,730.26 is: 4,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.95 : 12,414.29 = 2,730.26 : x
  2. Step 2: Convert to fraction form
    8,277.95/12,414.29 = 2,730.26/x
  3. Step 3: Cross multiply
    8,277.95x = 12,414.29 × 2,730.26
  4. Step 4: Simplify right side
    8,277.95x = 33,894,163.69
  5. Step 5: Solve for x
    x = 33,894,163.69/8,277.95
  6. Step 6: Final answer
    x = 4,094.51

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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.