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Finding the Fourth Proportional to 7,338, 10,122.32 and 4,350.88

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Solution

The fourth proportional to 7,338, 10,122.32 and 4,350.88 is: 6,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338 : 10,122.32 = 4,350.88 : x
  2. Step 2: Convert to fraction form
    7,338/10,122.32 = 4,350.88/x
  3. Step 3: Cross multiply
    7,338x = 10,122.32 × 4,350.88
  4. Step 4: Simplify right side
    7,338x = 44,040,999.64
  5. Step 5: Solve for x
    x = 44,040,999.64/7,338
  6. Step 6: Final answer
    x = 6,001.77

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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.