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Finding the Fourth Proportional to 7,808.97, 11,707.96 and 2,877.96

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Solution

The fourth proportional to 7,808.97, 11,707.96 and 2,877.96 is: 4,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.97 : 11,707.96 = 2,877.96 : x
  2. Step 2: Convert to fraction form
    7,808.97/11,707.96 = 2,877.96/x
  3. Step 3: Cross multiply
    7,808.97x = 11,707.96 × 2,877.96
  4. Step 4: Simplify right side
    7,808.97x = 33,695,040.56
  5. Step 5: Solve for x
    x = 33,695,040.56/7,808.97
  6. Step 6: Final answer
    x = 4,314.91

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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.