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Finding the Fourth Proportional to 7,468.38, 10,305.77 and 4,324.77

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Solution

The fourth proportional to 7,468.38, 10,305.77 and 4,324.77 is: 5,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.38 : 10,305.77 = 4,324.77 : x
  2. Step 2: Convert to fraction form
    7,468.38/10,305.77 = 4,324.77/x
  3. Step 3: Cross multiply
    7,468.38x = 10,305.77 × 4,324.77
  4. Step 4: Simplify right side
    7,468.38x = 44,570,063.30
  5. Step 5: Solve for x
    x = 44,570,063.30/7,468.38
  6. Step 6: Final answer
    x = 5,967.84

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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.