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Finding the Fourth Proportional to 6,784.92, 10,174.28 and 3,087

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Solution

The fourth proportional to 6,784.92, 10,174.28 and 3,087 is: 4,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.92 : 10,174.28 = 3,087 : x
  2. Step 2: Convert to fraction form
    6,784.92/10,174.28 = 3,087/x
  3. Step 3: Cross multiply
    6,784.92x = 10,174.28 × 3,087
  4. Step 4: Simplify right side
    6,784.92x = 31,408,002.36
  5. Step 5: Solve for x
    x = 31,408,002.36/6,784.92
  6. Step 6: Final answer
    x = 4,629.09

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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.