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Finding the Fourth Proportional to 7,675.72, 11,511.14 and 3,292

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Solution

The fourth proportional to 7,675.72, 11,511.14 and 3,292 is: 4,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.72 : 11,511.14 = 3,292 : x
  2. Step 2: Convert to fraction form
    7,675.72/11,511.14 = 3,292/x
  3. Step 3: Cross multiply
    7,675.72x = 11,511.14 × 3,292
  4. Step 4: Simplify right side
    7,675.72x = 37,894,672.88
  5. Step 5: Solve for x
    x = 37,894,672.88/7,675.72
  6. Step 6: Final answer
    x = 4,936.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.