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Finding the Fourth Proportional to 7,419.54, 10,234.43 and 5,823.79

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Solution

The fourth proportional to 7,419.54, 10,234.43 and 5,823.79 is: 8,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.54 : 10,234.43 = 5,823.79 : x
  2. Step 2: Convert to fraction form
    7,419.54/10,234.43 = 5,823.79/x
  3. Step 3: Cross multiply
    7,419.54x = 10,234.43 × 5,823.79
  4. Step 4: Simplify right side
    7,419.54x = 59,603,116.38
  5. Step 5: Solve for x
    x = 59,603,116.38/7,419.54
  6. Step 6: Final answer
    x = 8,033.26

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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.