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Finding the Fourth Proportional to 8,984.97, 12,411.36 and 8,146.62

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Solution

The fourth proportional to 8,984.97, 12,411.36 and 8,146.62 is: 11,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.97 : 12,411.36 = 8,146.62 : x
  2. Step 2: Convert to fraction form
    8,984.97/12,411.36 = 8,146.62/x
  3. Step 3: Cross multiply
    8,984.97x = 12,411.36 × 8,146.62
  4. Step 4: Simplify right side
    8,984.97x = 101,110,633.60
  5. Step 5: Solve for x
    x = 101,110,633.60/8,984.97
  6. Step 6: Final answer
    x = 11,253.31

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