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Finding the Fourth Proportional to 8,476.61, 12,707.42 and 3,207.96

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Solution

The fourth proportional to 8,476.61, 12,707.42 and 3,207.96 is: 4,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.61 : 12,707.42 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    8,476.61/12,707.42 = 3,207.96/x
  3. Step 3: Cross multiply
    8,476.61x = 12,707.42 × 3,207.96
  4. Step 4: Simplify right side
    8,476.61x = 40,764,941.83
  5. Step 5: Solve for x
    x = 40,764,941.83/8,476.61
  6. Step 6: Final answer
    x = 4,809.11

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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.