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Finding the Fourth Proportional to 8,320.77, 12,478.91 and 2,774.30

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Solution

The fourth proportional to 8,320.77, 12,478.91 and 2,774.30 is: 4,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.77 : 12,478.91 = 2,774.30 : x
  2. Step 2: Convert to fraction form
    8,320.77/12,478.91 = 2,774.30/x
  3. Step 3: Cross multiply
    8,320.77x = 12,478.91 × 2,774.30
  4. Step 4: Simplify right side
    8,320.77x = 34,620,163.75
  5. Step 5: Solve for x
    x = 34,620,163.75/8,320.77
  6. Step 6: Final answer
    x = 4,160.69

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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.