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Finding the Fourth Proportional to 11,033.15, 15,226.08 and 6,786.71

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Solution

The fourth proportional to 11,033.15, 15,226.08 and 6,786.71 is: 9,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.15 : 15,226.08 = 6,786.71 : x
  2. Step 2: Convert to fraction form
    11,033.15/15,226.08 = 6,786.71/x
  3. Step 3: Cross multiply
    11,033.15x = 15,226.08 × 6,786.71
  4. Step 4: Simplify right side
    11,033.15x = 103,334,989.40
  5. Step 5: Solve for x
    x = 103,334,989.40/11,033.15
  6. Step 6: Final answer
    x = 9,365.86

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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.