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Finding the Fourth Proportional to 8,109.90, 12,141.13 and 7,331.68

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Solution

The fourth proportional to 8,109.90, 12,141.13 and 7,331.68 is: 10,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.90 : 12,141.13 = 7,331.68 : x
  2. Step 2: Convert to fraction form
    8,109.90/12,141.13 = 7,331.68/x
  3. Step 3: Cross multiply
    8,109.90x = 12,141.13 × 7,331.68
  4. Step 4: Simplify right side
    8,109.90x = 89,014,880.00
  5. Step 5: Solve for x
    x = 89,014,880.00/8,109.90
  6. Step 6: Final answer
    x = 10,976.08

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