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Finding the Fourth Proportional to 6,511.80, 9,758.37 and 5,025.84

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Solution

The fourth proportional to 6,511.80, 9,758.37 and 5,025.84 is: 7,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.80 : 9,758.37 = 5,025.84 : x
  2. Step 2: Convert to fraction form
    6,511.80/9,758.37 = 5,025.84/x
  3. Step 3: Cross multiply
    6,511.80x = 9,758.37 × 5,025.84
  4. Step 4: Simplify right side
    6,511.80x = 49,044,006.28
  5. Step 5: Solve for x
    x = 49,044,006.28/6,511.80
  6. Step 6: Final answer
    x = 7,531.56

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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.