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Finding the Fourth Proportional to 8,603.82, 11,877.76 and 6,685.38

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Solution

The fourth proportional to 8,603.82, 11,877.76 and 6,685.38 is: 9,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.82 : 11,877.76 = 6,685.38 : x
  2. Step 2: Convert to fraction form
    8,603.82/11,877.76 = 6,685.38/x
  3. Step 3: Cross multiply
    8,603.82x = 11,877.76 × 6,685.38
  4. Step 4: Simplify right side
    8,603.82x = 79,407,339.15
  5. Step 5: Solve for x
    x = 79,407,339.15/8,603.82
  6. Step 6: Final answer
    x = 9,229.31

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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.