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Finding the Fourth Proportional to 8,064.75, 12,095.74 and 2,141.70

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Solution

The fourth proportional to 8,064.75, 12,095.74 and 2,141.70 is: 3,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.75 : 12,095.74 = 2,141.70 : x
  2. Step 2: Convert to fraction form
    8,064.75/12,095.74 = 2,141.70/x
  3. Step 3: Cross multiply
    8,064.75x = 12,095.74 × 2,141.70
  4. Step 4: Simplify right side
    8,064.75x = 25,905,446.36
  5. Step 5: Solve for x
    x = 25,905,446.36/8,064.75
  6. Step 6: Final answer
    x = 3,212.18

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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.