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Finding the Fourth Proportional to 6,873.39, 10,302.11 and 3,167.84

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Solution

The fourth proportional to 6,873.39, 10,302.11 and 3,167.84 is: 4,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.39 : 10,302.11 = 3,167.84 : x
  2. Step 2: Convert to fraction form
    6,873.39/10,302.11 = 3,167.84/x
  3. Step 3: Cross multiply
    6,873.39x = 10,302.11 × 3,167.84
  4. Step 4: Simplify right side
    6,873.39x = 32,635,368.79
  5. Step 5: Solve for x
    x = 32,635,368.79/6,873.39
  6. Step 6: Final answer
    x = 4,748.07

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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.