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Finding the Fourth Proportional to 7,760.51, 11,631.04 and 3,866.03

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Solution

The fourth proportional to 7,760.51, 11,631.04 and 3,866.03 is: 5,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.51 : 11,631.04 = 3,866.03 : x
  2. Step 2: Convert to fraction form
    7,760.51/11,631.04 = 3,866.03/x
  3. Step 3: Cross multiply
    7,760.51x = 11,631.04 × 3,866.03
  4. Step 4: Simplify right side
    7,760.51x = 44,965,872.09
  5. Step 5: Solve for x
    x = 44,965,872.09/7,760.51
  6. Step 6: Final answer
    x = 5,794.19

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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.