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Finding the Fourth Proportional to 6,805.24, 10,199.16 and 5,924.14

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Solution

The fourth proportional to 6,805.24, 10,199.16 and 5,924.14 is: 8,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.24 : 10,199.16 = 5,924.14 : x
  2. Step 2: Convert to fraction form
    6,805.24/10,199.16 = 5,924.14/x
  3. Step 3: Cross multiply
    6,805.24x = 10,199.16 × 5,924.14
  4. Step 4: Simplify right side
    6,805.24x = 60,421,251.72
  5. Step 5: Solve for x
    x = 60,421,251.72/6,805.24
  6. Step 6: Final answer
    x = 8,878.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.