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Finding the Fourth Proportional to 8,482.29, 11,713.73 and 5,836.02

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Solution

The fourth proportional to 8,482.29, 11,713.73 and 5,836.02 is: 8,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.29 : 11,713.73 = 5,836.02 : x
  2. Step 2: Convert to fraction form
    8,482.29/11,713.73 = 5,836.02/x
  3. Step 3: Cross multiply
    8,482.29x = 11,713.73 × 5,836.02
  4. Step 4: Simplify right side
    8,482.29x = 68,361,533.37
  5. Step 5: Solve for x
    x = 68,361,533.37/8,482.29
  6. Step 6: Final answer
    x = 8,059.33

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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.