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Finding the Fourth Proportional to 8,400.87, 11,597.85 and 5,044.50

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Solution

The fourth proportional to 8,400.87, 11,597.85 and 5,044.50 is: 6,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.87 : 11,597.85 = 5,044.50 : x
  2. Step 2: Convert to fraction form
    8,400.87/11,597.85 = 5,044.50/x
  3. Step 3: Cross multiply
    8,400.87x = 11,597.85 × 5,044.50
  4. Step 4: Simplify right side
    8,400.87x = 58,505,354.33
  5. Step 5: Solve for x
    x = 58,505,354.33/8,400.87
  6. Step 6: Final answer
    x = 6,964.20

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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.