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Finding the Fourth Proportional to 8,475.39, 11,694.62 and 5,646.99

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Solution

The fourth proportional to 8,475.39, 11,694.62 and 5,646.99 is: 7,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.39 : 11,694.62 = 5,646.99 : x
  2. Step 2: Convert to fraction form
    8,475.39/11,694.62 = 5,646.99/x
  3. Step 3: Cross multiply
    8,475.39x = 11,694.62 × 5,646.99
  4. Step 4: Simplify right side
    8,475.39x = 66,039,402.19
  5. Step 5: Solve for x
    x = 66,039,402.19/8,475.39
  6. Step 6: Final answer
    x = 7,791.90

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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.