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Finding the Fourth Proportional to 7,442.33, 10,269.32 and 4,793.31

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Solution

The fourth proportional to 7,442.33, 10,269.32 and 4,793.31 is: 6,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.33 : 10,269.32 = 4,793.31 : x
  2. Step 2: Convert to fraction form
    7,442.33/10,269.32 = 4,793.31/x
  3. Step 3: Cross multiply
    7,442.33x = 10,269.32 × 4,793.31
  4. Step 4: Simplify right side
    7,442.33x = 49,224,010.28
  5. Step 5: Solve for x
    x = 49,224,010.28/7,442.33
  6. Step 6: Final answer
    x = 6,614.06

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