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Finding the Fourth Proportional to 8,103.46, 12,154.71 and 2,908.66

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Solution

The fourth proportional to 8,103.46, 12,154.71 and 2,908.66 is: 4,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.46 : 12,154.71 = 2,908.66 : x
  2. Step 2: Convert to fraction form
    8,103.46/12,154.71 = 2,908.66/x
  3. Step 3: Cross multiply
    8,103.46x = 12,154.71 × 2,908.66
  4. Step 4: Simplify right side
    8,103.46x = 35,353,918.79
  5. Step 5: Solve for x
    x = 35,353,918.79/8,103.46
  6. Step 6: Final answer
    x = 4,362.82

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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.