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Finding the Fourth Proportional to 6,871.33, 10,298.55 and 3,168.42

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Solution

The fourth proportional to 6,871.33, 10,298.55 and 3,168.42 is: 4,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.33 : 10,298.55 = 3,168.42 : x
  2. Step 2: Convert to fraction form
    6,871.33/10,298.55 = 3,168.42/x
  3. Step 3: Cross multiply
    6,871.33x = 10,298.55 × 3,168.42
  4. Step 4: Simplify right side
    6,871.33x = 32,630,131.79
  5. Step 5: Solve for x
    x = 32,630,131.79/6,871.33
  6. Step 6: Final answer
    x = 4,748.74

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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.