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Finding the Fourth Proportional to 7,067.16, 9,752.34 and 4,083.08

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Solution

The fourth proportional to 7,067.16, 9,752.34 and 4,083.08 is: 5,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.16 : 9,752.34 = 4,083.08 : x
  2. Step 2: Convert to fraction form
    7,067.16/9,752.34 = 4,083.08/x
  3. Step 3: Cross multiply
    7,067.16x = 9,752.34 × 4,083.08
  4. Step 4: Simplify right side
    7,067.16x = 39,819,584.41
  5. Step 5: Solve for x
    x = 39,819,584.41/7,067.16
  6. Step 6: Final answer
    x = 5,634.45

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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.