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Finding the Fourth Proportional to 8,065.75, 12,097.14 and 2,221.60

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Solution

The fourth proportional to 8,065.75, 12,097.14 and 2,221.60 is: 3,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.75 : 12,097.14 = 2,221.60 : x
  2. Step 2: Convert to fraction form
    8,065.75/12,097.14 = 2,221.60/x
  3. Step 3: Cross multiply
    8,065.75x = 12,097.14 × 2,221.60
  4. Step 4: Simplify right side
    8,065.75x = 26,875,006.22
  5. Step 5: Solve for x
    x = 26,875,006.22/8,065.75
  6. Step 6: Final answer
    x = 3,331.99

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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.