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Finding the Fourth Proportional to 6,007.05, 8,287.16 and 3,767.40

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Solution

The fourth proportional to 6,007.05, 8,287.16 and 3,767.40 is: 5,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.05 : 8,287.16 = 3,767.40 : x
  2. Step 2: Convert to fraction form
    6,007.05/8,287.16 = 3,767.40/x
  3. Step 3: Cross multiply
    6,007.05x = 8,287.16 × 3,767.40
  4. Step 4: Simplify right side
    6,007.05x = 31,221,027.75
  5. Step 5: Solve for x
    x = 31,221,027.75/6,007.05
  6. Step 6: Final answer
    x = 5,197.40

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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.