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Finding the Fourth Proportional to 8,625.68, 11,901 and 5,833.04

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Solution

The fourth proportional to 8,625.68, 11,901 and 5,833.04 is: 8,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.68 : 11,901 = 5,833.04 : x
  2. Step 2: Convert to fraction form
    8,625.68/11,901 = 5,833.04/x
  3. Step 3: Cross multiply
    8,625.68x = 11,901 × 5,833.04
  4. Step 4: Simplify right side
    8,625.68x = 69,419,009.04
  5. Step 5: Solve for x
    x = 69,419,009.04/8,625.68
  6. Step 6: Final answer
    x = 8,047.95

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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.