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Finding the Fourth Proportional to 11,399.09, 15,731.54 and 6,364.30

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Solution

The fourth proportional to 11,399.09, 15,731.54 and 6,364.30 is: 8,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.09 : 15,731.54 = 6,364.30 : x
  2. Step 2: Convert to fraction form
    11,399.09/15,731.54 = 6,364.30/x
  3. Step 3: Cross multiply
    11,399.09x = 15,731.54 × 6,364.30
  4. Step 4: Simplify right side
    11,399.09x = 100,120,240.02
  5. Step 5: Solve for x
    x = 100,120,240.02/11,399.09
  6. Step 6: Final answer
    x = 8,783.18

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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.