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Finding the Fourth Proportional to 11,596.31, 15,993.02 and 8,914.02

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Solution

The fourth proportional to 11,596.31, 15,993.02 and 8,914.02 is: 12,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.31 : 15,993.02 = 8,914.02 : x
  2. Step 2: Convert to fraction form
    11,596.31/15,993.02 = 8,914.02/x
  3. Step 3: Cross multiply
    11,596.31x = 15,993.02 × 8,914.02
  4. Step 4: Simplify right side
    11,596.31x = 142,562,020.18
  5. Step 5: Solve for x
    x = 142,562,020.18/11,596.31
  6. Step 6: Final answer
    x = 12,293.75

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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.