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Finding the Fourth Proportional to 7,852.97, 11,781.50 and 2,588.78

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Solution

The fourth proportional to 7,852.97, 11,781.50 and 2,588.78 is: 3,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.97 : 11,781.50 = 2,588.78 : x
  2. Step 2: Convert to fraction form
    7,852.97/11,781.50 = 2,588.78/x
  3. Step 3: Cross multiply
    7,852.97x = 11,781.50 × 2,588.78
  4. Step 4: Simplify right side
    7,852.97x = 30,499,639.72
  5. Step 5: Solve for x
    x = 30,499,639.72/7,852.97
  6. Step 6: Final answer
    x = 3,883.84

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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.