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Finding the Fourth Proportional to 8,152.10, 12,227.94 and 2,605.76

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Solution

The fourth proportional to 8,152.10, 12,227.94 and 2,605.76 is: 3,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.10 : 12,227.94 = 2,605.76 : x
  2. Step 2: Convert to fraction form
    8,152.10/12,227.94 = 2,605.76/x
  3. Step 3: Cross multiply
    8,152.10x = 12,227.94 × 2,605.76
  4. Step 4: Simplify right side
    8,152.10x = 31,863,076.93
  5. Step 5: Solve for x
    x = 31,863,076.93/8,152.10
  6. Step 6: Final answer
    x = 3,908.57

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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.