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Finding the Fourth Proportional to 11,351.91, 15,664.26 and 6,314.94

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Solution

The fourth proportional to 11,351.91, 15,664.26 and 6,314.94 is: 8,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.91 : 15,664.26 = 6,314.94 : x
  2. Step 2: Convert to fraction form
    11,351.91/15,664.26 = 6,314.94/x
  3. Step 3: Cross multiply
    11,351.91x = 15,664.26 × 6,314.94
  4. Step 4: Simplify right side
    11,351.91x = 98,918,862.04
  5. Step 5: Solve for x
    x = 98,918,862.04/11,351.91
  6. Step 6: Final answer
    x = 8,713.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.