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Finding the Fourth Proportional to 8,486.47, 11,706.42 and 5,972.23

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Solution

The fourth proportional to 8,486.47, 11,706.42 and 5,972.23 is: 8,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.47 : 11,706.42 = 5,972.23 : x
  2. Step 2: Convert to fraction form
    8,486.47/11,706.42 = 5,972.23/x
  3. Step 3: Cross multiply
    8,486.47x = 11,706.42 × 5,972.23
  4. Step 4: Simplify right side
    8,486.47x = 69,913,432.72
  5. Step 5: Solve for x
    x = 69,913,432.72/8,486.47
  6. Step 6: Final answer
    x = 8,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.