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Finding the Fourth Proportional to 11,589.09, 15,993.05 and 6,284.00

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Solution

The fourth proportional to 11,589.09, 15,993.05 and 6,284.00 is: 8,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.09 : 15,993.05 = 6,284.00 : x
  2. Step 2: Convert to fraction form
    11,589.09/15,993.05 = 6,284.00/x
  3. Step 3: Cross multiply
    11,589.09x = 15,993.05 × 6,284.00
  4. Step 4: Simplify right side
    11,589.09x = 100,500,214.81
  5. Step 5: Solve for x
    x = 100,500,214.81/11,589.09
  6. Step 6: Final answer
    x = 8,671.97

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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.