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Finding the Fourth Proportional to 8,066.87, 12,091.23 and 4,107.01

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Solution

The fourth proportional to 8,066.87, 12,091.23 and 4,107.01 is: 6,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.87 : 12,091.23 = 4,107.01 : x
  2. Step 2: Convert to fraction form
    8,066.87/12,091.23 = 4,107.01/x
  3. Step 3: Cross multiply
    8,066.87x = 12,091.23 × 4,107.01
  4. Step 4: Simplify right side
    8,066.87x = 49,658,772.19
  5. Step 5: Solve for x
    x = 49,658,772.19/8,066.87
  6. Step 6: Final answer
    x = 6,155.89

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Why These Related Problems?

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