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Finding the Fourth Proportional to 6,911.64, 10,364.54 and 2,634.57

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Solution

The fourth proportional to 6,911.64, 10,364.54 and 2,634.57 is: 3,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.64 : 10,364.54 = 2,634.57 : x
  2. Step 2: Convert to fraction form
    6,911.64/10,364.54 = 2,634.57/x
  3. Step 3: Cross multiply
    6,911.64x = 10,364.54 × 2,634.57
  4. Step 4: Simplify right side
    6,911.64x = 27,306,092.97
  5. Step 5: Solve for x
    x = 27,306,092.97/6,911.64
  6. Step 6: Final answer
    x = 3,950.74

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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.