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Finding the Fourth Proportional to 7,167.84, 10,748.52 and 2,236.02

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Solution

The fourth proportional to 7,167.84, 10,748.52 and 2,236.02 is: 3,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.84 : 10,748.52 = 2,236.02 : x
  2. Step 2: Convert to fraction form
    7,167.84/10,748.52 = 2,236.02/x
  3. Step 3: Cross multiply
    7,167.84x = 10,748.52 × 2,236.02
  4. Step 4: Simplify right side
    7,167.84x = 24,033,905.69
  5. Step 5: Solve for x
    x = 24,033,905.69/7,167.84
  6. Step 6: Final answer
    x = 3,353.02

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Why These Related Problems?

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