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Finding the Fourth Proportional to 8,411.76, 12,617.85 and 2,568.34

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Solution

The fourth proportional to 8,411.76, 12,617.85 and 2,568.34 is: 3,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.76 : 12,617.85 = 2,568.34 : x
  2. Step 2: Convert to fraction form
    8,411.76/12,617.85 = 2,568.34/x
  3. Step 3: Cross multiply
    8,411.76x = 12,617.85 × 2,568.34
  4. Step 4: Simplify right side
    8,411.76x = 32,406,928.87
  5. Step 5: Solve for x
    x = 32,406,928.87/8,411.76
  6. Step 6: Final answer
    x = 3,852.57

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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.