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Finding the Fourth Proportional to 10,568.88, 14,586.48 and 5,853.60

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Solution

The fourth proportional to 10,568.88, 14,586.48 and 5,853.60 is: 8,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.88 : 14,586.48 = 5,853.60 : x
  2. Step 2: Convert to fraction form
    10,568.88/14,586.48 = 5,853.60/x
  3. Step 3: Cross multiply
    10,568.88x = 14,586.48 × 5,853.60
  4. Step 4: Simplify right side
    10,568.88x = 85,383,419.33
  5. Step 5: Solve for x
    x = 85,383,419.33/10,568.88
  6. Step 6: Final answer
    x = 8,078.76

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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.