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Finding the Fourth Proportional to 7,592.74, 11,391.84 and 5,418.50

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Solution

The fourth proportional to 7,592.74, 11,391.84 and 5,418.50 is: 8,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.74 : 11,391.84 = 5,418.50 : x
  2. Step 2: Convert to fraction form
    7,592.74/11,391.84 = 5,418.50/x
  3. Step 3: Cross multiply
    7,592.74x = 11,391.84 × 5,418.50
  4. Step 4: Simplify right side
    7,592.74x = 61,726,628.08
  5. Step 5: Solve for x
    x = 61,726,628.08/7,592.74
  6. Step 6: Final answer
    x = 8,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.