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Finding the Fourth Proportional to 8,296.80, 11,448.66 and 4,939.14

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Solution

The fourth proportional to 8,296.80, 11,448.66 and 4,939.14 is: 6,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.80 : 11,448.66 = 4,939.14 : x
  2. Step 2: Convert to fraction form
    8,296.80/11,448.66 = 4,939.14/x
  3. Step 3: Cross multiply
    8,296.80x = 11,448.66 × 4,939.14
  4. Step 4: Simplify right side
    8,296.80x = 56,546,534.55
  5. Step 5: Solve for x
    x = 56,546,534.55/8,296.80
  6. Step 6: Final answer
    x = 6,815.46

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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.