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Finding the Fourth Proportional to 7,329.92, 10,105.44 and 5,230.40

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Solution

The fourth proportional to 7,329.92, 10,105.44 and 5,230.40 is: 7,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.92 : 10,105.44 = 5,230.40 : x
  2. Step 2: Convert to fraction form
    7,329.92/10,105.44 = 5,230.40/x
  3. Step 3: Cross multiply
    7,329.92x = 10,105.44 × 5,230.40
  4. Step 4: Simplify right side
    7,329.92x = 52,855,493.38
  5. Step 5: Solve for x
    x = 52,855,493.38/7,329.92
  6. Step 6: Final answer
    x = 7,210.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.