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Finding the Fourth Proportional to 7,442.03, 10,269.64 and 4,299.23

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Solution

The fourth proportional to 7,442.03, 10,269.64 and 4,299.23 is: 5,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.03 : 10,269.64 = 4,299.23 : x
  2. Step 2: Convert to fraction form
    7,442.03/10,269.64 = 4,299.23/x
  3. Step 3: Cross multiply
    7,442.03x = 10,269.64 × 4,299.23
  4. Step 4: Simplify right side
    7,442.03x = 44,151,544.38
  5. Step 5: Solve for x
    x = 44,151,544.38/7,442.03
  6. Step 6: Final answer
    x = 5,932.73

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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.