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Finding the Fourth Proportional to 8,117.41, 12,168.72 and 2,849.56

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Solution

The fourth proportional to 8,117.41, 12,168.72 and 2,849.56 is: 4,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.41 : 12,168.72 = 2,849.56 : x
  2. Step 2: Convert to fraction form
    8,117.41/12,168.72 = 2,849.56/x
  3. Step 3: Cross multiply
    8,117.41x = 12,168.72 × 2,849.56
  4. Step 4: Simplify right side
    8,117.41x = 34,675,497.76
  5. Step 5: Solve for x
    x = 34,675,497.76/8,117.41
  6. Step 6: Final answer
    x = 4,271.74

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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.