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Finding the Fourth Proportional to 7,893.77, 11,838.29 and 6,503.66

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Solution

The fourth proportional to 7,893.77, 11,838.29 and 6,503.66 is: 9,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.77 : 11,838.29 = 6,503.66 : x
  2. Step 2: Convert to fraction form
    7,893.77/11,838.29 = 6,503.66/x
  3. Step 3: Cross multiply
    7,893.77x = 11,838.29 × 6,503.66
  4. Step 4: Simplify right side
    7,893.77x = 76,992,121.43
  5. Step 5: Solve for x
    x = 76,992,121.43/7,893.77
  6. Step 6: Final answer
    x = 9,753.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.