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Finding the Fourth Proportional to 8,610.08, 11,893.44 and 6,938

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Solution

The fourth proportional to 8,610.08, 11,893.44 and 6,938 is: 9,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.08 : 11,893.44 = 6,938 : x
  2. Step 2: Convert to fraction form
    8,610.08/11,893.44 = 6,938/x
  3. Step 3: Cross multiply
    8,610.08x = 11,893.44 × 6,938
  4. Step 4: Simplify right side
    8,610.08x = 82,516,686.72
  5. Step 5: Solve for x
    x = 82,516,686.72/8,610.08
  6. Step 6: Final answer
    x = 9,583.73

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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.