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Finding the Fourth Proportional to 8,096.81, 11,173.57 and 4,560.08

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Solution

The fourth proportional to 8,096.81, 11,173.57 and 4,560.08 is: 6,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.81 : 11,173.57 = 4,560.08 : x
  2. Step 2: Convert to fraction form
    8,096.81/11,173.57 = 4,560.08/x
  3. Step 3: Cross multiply
    8,096.81x = 11,173.57 × 4,560.08
  4. Step 4: Simplify right side
    8,096.81x = 50,952,373.09
  5. Step 5: Solve for x
    x = 50,952,373.09/8,096.81
  6. Step 6: Final answer
    x = 6,292.89

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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.