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Finding the Fourth Proportional to 6,871.34, 10,299.03 and 3,165.79

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Solution

The fourth proportional to 6,871.34, 10,299.03 and 3,165.79 is: 4,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.34 : 10,299.03 = 3,165.79 : x
  2. Step 2: Convert to fraction form
    6,871.34/10,299.03 = 3,165.79/x
  3. Step 3: Cross multiply
    6,871.34x = 10,299.03 × 3,165.79
  4. Step 4: Simplify right side
    6,871.34x = 32,604,566.18
  5. Step 5: Solve for x
    x = 32,604,566.18/6,871.34
  6. Step 6: Final answer
    x = 4,745.01

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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.