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Finding the Fourth Proportional to 8,617.46, 12,929.71 and 3,071.86

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Solution

The fourth proportional to 8,617.46, 12,929.71 and 3,071.86 is: 4,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.46 : 12,929.71 = 3,071.86 : x
  2. Step 2: Convert to fraction form
    8,617.46/12,929.71 = 3,071.86/x
  3. Step 3: Cross multiply
    8,617.46x = 12,929.71 × 3,071.86
  4. Step 4: Simplify right side
    8,617.46x = 39,718,258.96
  5. Step 5: Solve for x
    x = 39,718,258.96/8,617.46
  6. Step 6: Final answer
    x = 4,609.04

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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.