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Finding the Fourth Proportional to 8,604.32, 12,902.21 and 3,056.82

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Solution

The fourth proportional to 8,604.32, 12,902.21 and 3,056.82 is: 4,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.32 : 12,902.21 = 3,056.82 : x
  2. Step 2: Convert to fraction form
    8,604.32/12,902.21 = 3,056.82/x
  3. Step 3: Cross multiply
    8,604.32x = 12,902.21 × 3,056.82
  4. Step 4: Simplify right side
    8,604.32x = 39,439,718.29
  5. Step 5: Solve for x
    x = 39,439,718.29/8,604.32
  6. Step 6: Final answer
    x = 4,583.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.