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Finding the Fourth Proportional to 7,788.31, 11,687.60 and 2,858

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Solution

The fourth proportional to 7,788.31, 11,687.60 and 2,858 is: 4,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.31 : 11,687.60 = 2,858 : x
  2. Step 2: Convert to fraction form
    7,788.31/11,687.60 = 2,858/x
  3. Step 3: Cross multiply
    7,788.31x = 11,687.60 × 2,858
  4. Step 4: Simplify right side
    7,788.31x = 33,403,160.80
  5. Step 5: Solve for x
    x = 33,403,160.80/7,788.31
  6. Step 6: Final answer
    x = 4,288.88

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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.