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Finding the Fourth Proportional to 8,106.52, 11,187.84 and 4,964.80

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Solution

The fourth proportional to 8,106.52, 11,187.84 and 4,964.80 is: 6,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.52 : 11,187.84 = 4,964.80 : x
  2. Step 2: Convert to fraction form
    8,106.52/11,187.84 = 4,964.80/x
  3. Step 3: Cross multiply
    8,106.52x = 11,187.84 × 4,964.80
  4. Step 4: Simplify right side
    8,106.52x = 55,545,388.03
  5. Step 5: Solve for x
    x = 55,545,388.03/8,106.52
  6. Step 6: Final answer
    x = 6,851.94

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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.