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Finding the Fourth Proportional to 7,782.52, 11,675.82 and 2,588.44

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Solution

The fourth proportional to 7,782.52, 11,675.82 and 2,588.44 is: 3,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.52 : 11,675.82 = 2,588.44 : x
  2. Step 2: Convert to fraction form
    7,782.52/11,675.82 = 2,588.44/x
  3. Step 3: Cross multiply
    7,782.52x = 11,675.82 × 2,588.44
  4. Step 4: Simplify right side
    7,782.52x = 30,222,159.52
  5. Step 5: Solve for x
    x = 30,222,159.52/7,782.52
  6. Step 6: Final answer
    x = 3,883.34

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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.