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Finding the Fourth Proportional to 7,850.85, 11,776.41 and 2,007.51

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Solution

The fourth proportional to 7,850.85, 11,776.41 and 2,007.51 is: 3,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.85 : 11,776.41 = 2,007.51 : x
  2. Step 2: Convert to fraction form
    7,850.85/11,776.41 = 2,007.51/x
  3. Step 3: Cross multiply
    7,850.85x = 11,776.41 × 2,007.51
  4. Step 4: Simplify right side
    7,850.85x = 23,641,260.84
  5. Step 5: Solve for x
    x = 23,641,260.84/7,850.85
  6. Step 6: Final answer
    x = 3,011.30

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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.