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Finding the Fourth Proportional to 7,766.26, 11,650.26 and 2,572.14

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Solution

The fourth proportional to 7,766.26, 11,650.26 and 2,572.14 is: 3,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.26 : 11,650.26 = 2,572.14 : x
  2. Step 2: Convert to fraction form
    7,766.26/11,650.26 = 2,572.14/x
  3. Step 3: Cross multiply
    7,766.26x = 11,650.26 × 2,572.14
  4. Step 4: Simplify right side
    7,766.26x = 29,966,099.76
  5. Step 5: Solve for x
    x = 29,966,099.76/7,766.26
  6. Step 6: Final answer
    x = 3,858.50

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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.