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Finding the Fourth Proportional to 7,057.42, 9,717.02 and 5,993.08

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Solution

The fourth proportional to 7,057.42, 9,717.02 and 5,993.08 is: 8,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.42 : 9,717.02 = 5,993.08 : x
  2. Step 2: Convert to fraction form
    7,057.42/9,717.02 = 5,993.08/x
  3. Step 3: Cross multiply
    7,057.42x = 9,717.02 × 5,993.08
  4. Step 4: Simplify right side
    7,057.42x = 58,234,878.22
  5. Step 5: Solve for x
    x = 58,234,878.22/7,057.42
  6. Step 6: Final answer
    x = 8,251.58

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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.