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Finding the Fourth Proportional to 8,135.31, 11,226.74 and 4,409.31

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Solution

The fourth proportional to 8,135.31, 11,226.74 and 4,409.31 is: 6,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.31 : 11,226.74 = 4,409.31 : x
  2. Step 2: Convert to fraction form
    8,135.31/11,226.74 = 4,409.31/x
  3. Step 3: Cross multiply
    8,135.31x = 11,226.74 × 4,409.31
  4. Step 4: Simplify right side
    8,135.31x = 49,502,176.95
  5. Step 5: Solve for x
    x = 49,502,176.95/8,135.31
  6. Step 6: Final answer
    x = 6,084.85

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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.