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Finding the Fourth Proportional to 11,311.20, 15,605.71 and 6,833.25

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Solution

The fourth proportional to 11,311.20, 15,605.71 and 6,833.25 is: 9,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.20 : 15,605.71 = 6,833.25 : x
  2. Step 2: Convert to fraction form
    11,311.20/15,605.71 = 6,833.25/x
  3. Step 3: Cross multiply
    11,311.20x = 15,605.71 × 6,833.25
  4. Step 4: Simplify right side
    11,311.20x = 106,637,717.86
  5. Step 5: Solve for x
    x = 106,637,717.86/11,311.20
  6. Step 6: Final answer
    x = 9,427.62

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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.