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Finding the Fourth Proportional to 7,893.11, 11,781.88 and 6,958.96

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Solution

The fourth proportional to 7,893.11, 11,781.88 and 6,958.96 is: 10,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.11 : 11,781.88 = 6,958.96 : x
  2. Step 2: Convert to fraction form
    7,893.11/11,781.88 = 6,958.96/x
  3. Step 3: Cross multiply
    7,893.11x = 11,781.88 × 6,958.96
  4. Step 4: Simplify right side
    7,893.11x = 81,989,670.64
  5. Step 5: Solve for x
    x = 81,989,670.64/7,893.11
  6. Step 6: Final answer
    x = 10,387.50

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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.