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Finding the Fourth Proportional to 11,568.78, 15,965.24 and 6,853.05

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Solution

The fourth proportional to 11,568.78, 15,965.24 and 6,853.05 is: 9,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.78 : 15,965.24 = 6,853.05 : x
  2. Step 2: Convert to fraction form
    11,568.78/15,965.24 = 6,853.05/x
  3. Step 3: Cross multiply
    11,568.78x = 15,965.24 × 6,853.05
  4. Step 4: Simplify right side
    11,568.78x = 109,410,553.72
  5. Step 5: Solve for x
    x = 109,410,553.72/11,568.78
  6. Step 6: Final answer
    x = 9,457.40

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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.