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Finding the Fourth Proportional to 7,801, 10,765.38 and 4,490.92

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Solution

The fourth proportional to 7,801, 10,765.38 and 4,490.92 is: 6,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801 : 10,765.38 = 4,490.92 : x
  2. Step 2: Convert to fraction form
    7,801/10,765.38 = 4,490.92/x
  3. Step 3: Cross multiply
    7,801x = 10,765.38 × 4,490.92
  4. Step 4: Simplify right side
    7,801x = 48,346,460.35
  5. Step 5: Solve for x
    x = 48,346,460.35/7,801
  6. Step 6: Final answer
    x = 6,197.47

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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.