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Finding the Fourth Proportional to 8,150.90, 12,226.35 and 7,768.18

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Solution

The fourth proportional to 8,150.90, 12,226.35 and 7,768.18 is: 11,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.90 : 12,226.35 = 7,768.18 : x
  2. Step 2: Convert to fraction form
    8,150.90/12,226.35 = 7,768.18/x
  3. Step 3: Cross multiply
    8,150.90x = 12,226.35 × 7,768.18
  4. Step 4: Simplify right side
    8,150.90x = 94,976,426.41
  5. Step 5: Solve for x
    x = 94,976,426.41/8,150.90
  6. Step 6: Final answer
    x = 11,652.26

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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.