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Finding the Fourth Proportional to 6,511.61, 9,771.06 and 2,618.75

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Solution

The fourth proportional to 6,511.61, 9,771.06 and 2,618.75 is: 3,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.61 : 9,771.06 = 2,618.75 : x
  2. Step 2: Convert to fraction form
    6,511.61/9,771.06 = 2,618.75/x
  3. Step 3: Cross multiply
    6,511.61x = 9,771.06 × 2,618.75
  4. Step 4: Simplify right side
    6,511.61x = 25,587,963.38
  5. Step 5: Solve for x
    x = 25,587,963.38/6,511.61
  6. Step 6: Final answer
    x = 3,929.59

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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.