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Finding the Fourth Proportional to 11,086.53, 16,657.32 and 9,842.37

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Solution

The fourth proportional to 11,086.53, 16,657.32 and 9,842.37 is: 14,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.53 : 16,657.32 = 9,842.37 : x
  2. Step 2: Convert to fraction form
    11,086.53/16,657.32 = 9,842.37/x
  3. Step 3: Cross multiply
    11,086.53x = 16,657.32 × 9,842.37
  4. Step 4: Simplify right side
    11,086.53x = 163,947,506.65
  5. Step 5: Solve for x
    x = 163,947,506.65/11,086.53
  6. Step 6: Final answer
    x = 14,787.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.