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Finding the Fourth Proportional to 7,391.66, 11,087.49 and 4,311.50

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Solution

The fourth proportional to 7,391.66, 11,087.49 and 4,311.50 is: 6,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.66 : 11,087.49 = 4,311.50 : x
  2. Step 2: Convert to fraction form
    7,391.66/11,087.49 = 4,311.50/x
  3. Step 3: Cross multiply
    7,391.66x = 11,087.49 × 4,311.50
  4. Step 4: Simplify right side
    7,391.66x = 47,803,713.14
  5. Step 5: Solve for x
    x = 47,803,713.14/7,391.66
  6. Step 6: Final answer
    x = 6,467.25

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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.