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Finding the Fourth Proportional to 7,710.25, 11,564.52 and 2,163.81

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Solution

The fourth proportional to 7,710.25, 11,564.52 and 2,163.81 is: 3,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.25 : 11,564.52 = 2,163.81 : x
  2. Step 2: Convert to fraction form
    7,710.25/11,564.52 = 2,163.81/x
  3. Step 3: Cross multiply
    7,710.25x = 11,564.52 × 2,163.81
  4. Step 4: Simplify right side
    7,710.25x = 25,023,418.61
  5. Step 5: Solve for x
    x = 25,023,418.61/7,710.25
  6. Step 6: Final answer
    x = 3,245.47

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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.