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Finding the Fourth Proportional to 7,808.68, 11,717.59 and 2,881.75

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Solution

The fourth proportional to 7,808.68, 11,717.59 and 2,881.75 is: 4,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.68 : 11,717.59 = 2,881.75 : x
  2. Step 2: Convert to fraction form
    7,808.68/11,717.59 = 2,881.75/x
  3. Step 3: Cross multiply
    7,808.68x = 11,717.59 × 2,881.75
  4. Step 4: Simplify right side
    7,808.68x = 33,767,106.39
  5. Step 5: Solve for x
    x = 33,767,106.39/7,808.68
  6. Step 6: Final answer
    x = 4,324.31

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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.