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Finding the Fourth Proportional to 7,067.06, 9,750.16 and 4,081.81

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Solution

The fourth proportional to 7,067.06, 9,750.16 and 4,081.81 is: 5,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.06 : 9,750.16 = 4,081.81 : x
  2. Step 2: Convert to fraction form
    7,067.06/9,750.16 = 4,081.81/x
  3. Step 3: Cross multiply
    7,067.06x = 9,750.16 × 4,081.81
  4. Step 4: Simplify right side
    7,067.06x = 39,798,300.59
  5. Step 5: Solve for x
    x = 39,798,300.59/7,067.06
  6. Step 6: Final answer
    x = 5,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.