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Finding the Fourth Proportional to 11,713.89, 16,171.85 and 7,746.51

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Solution

The fourth proportional to 11,713.89, 16,171.85 and 7,746.51 is: 10,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.89 : 16,171.85 = 7,746.51 : x
  2. Step 2: Convert to fraction form
    11,713.89/16,171.85 = 7,746.51/x
  3. Step 3: Cross multiply
    11,713.89x = 16,171.85 × 7,746.51
  4. Step 4: Simplify right side
    11,713.89x = 125,275,278.15
  5. Step 5: Solve for x
    x = 125,275,278.15/11,713.89
  6. Step 6: Final answer
    x = 10,694.60

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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.