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Finding the Fourth Proportional to 8,276.96, 12,415.77 and 3,891.35

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Solution

The fourth proportional to 8,276.96, 12,415.77 and 3,891.35 is: 5,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.96 : 12,415.77 = 3,891.35 : x
  2. Step 2: Convert to fraction form
    8,276.96/12,415.77 = 3,891.35/x
  3. Step 3: Cross multiply
    8,276.96x = 12,415.77 × 3,891.35
  4. Step 4: Simplify right side
    8,276.96x = 48,314,044.51
  5. Step 5: Solve for x
    x = 48,314,044.51/8,276.96
  6. Step 6: Final answer
    x = 5,837.18

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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.