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Finding the Fourth Proportional to 8,152.91, 12,228.34 and 2,605.79

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Solution

The fourth proportional to 8,152.91, 12,228.34 and 2,605.79 is: 3,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.91 : 12,228.34 = 2,605.79 : x
  2. Step 2: Convert to fraction form
    8,152.91/12,228.34 = 2,605.79/x
  3. Step 3: Cross multiply
    8,152.91x = 12,228.34 × 2,605.79
  4. Step 4: Simplify right side
    8,152.91x = 31,864,473.06
  5. Step 5: Solve for x
    x = 31,864,473.06/8,152.91
  6. Step 6: Final answer
    x = 3,908.36

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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.