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Finding the Fourth Proportional to 8,032.94, 11,085.45 and 4,496.17

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Solution

The fourth proportional to 8,032.94, 11,085.45 and 4,496.17 is: 6,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.94 : 11,085.45 = 4,496.17 : x
  2. Step 2: Convert to fraction form
    8,032.94/11,085.45 = 4,496.17/x
  3. Step 3: Cross multiply
    8,032.94x = 11,085.45 × 4,496.17
  4. Step 4: Simplify right side
    8,032.94x = 49,842,067.73
  5. Step 5: Solve for x
    x = 49,842,067.73/8,032.94
  6. Step 6: Final answer
    x = 6,204.71

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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.