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Finding the Fourth Proportional to 8,276.85, 12,410.77 and 4,107.69

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Solution

The fourth proportional to 8,276.85, 12,410.77 and 4,107.69 is: 6,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.85 : 12,410.77 = 4,107.69 : x
  2. Step 2: Convert to fraction form
    8,276.85/12,410.77 = 4,107.69/x
  3. Step 3: Cross multiply
    8,276.85x = 12,410.77 × 4,107.69
  4. Step 4: Simplify right side
    8,276.85x = 50,979,595.82
  5. Step 5: Solve for x
    x = 50,979,595.82/8,276.85
  6. Step 6: Final answer
    x = 6,159.30

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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.