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Finding the Fourth Proportional to 6,691.23, 9,987.04 and 5,797.77

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Solution

The fourth proportional to 6,691.23, 9,987.04 and 5,797.77 is: 8,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.23 : 9,987.04 = 5,797.77 : x
  2. Step 2: Convert to fraction form
    6,691.23/9,987.04 = 5,797.77/x
  3. Step 3: Cross multiply
    6,691.23x = 9,987.04 × 5,797.77
  4. Step 4: Simplify right side
    6,691.23x = 57,902,530.70
  5. Step 5: Solve for x
    x = 57,902,530.70/6,691.23
  6. Step 6: Final answer
    x = 8,653.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.