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Finding the Fourth Proportional to 7,328.38, 10,997.16 and 3,167.68

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Solution

The fourth proportional to 7,328.38, 10,997.16 and 3,167.68 is: 4,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.38 : 10,997.16 = 3,167.68 : x
  2. Step 2: Convert to fraction form
    7,328.38/10,997.16 = 3,167.68/x
  3. Step 3: Cross multiply
    7,328.38x = 10,997.16 × 3,167.68
  4. Step 4: Simplify right side
    7,328.38x = 34,835,483.79
  5. Step 5: Solve for x
    x = 34,835,483.79/7,328.38
  6. Step 6: Final answer
    x = 4,753.50

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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.