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Finding the Fourth Proportional to 8,634.17, 11,903.68 and 5,644.87

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Solution

The fourth proportional to 8,634.17, 11,903.68 and 5,644.87 is: 7,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.17 : 11,903.68 = 5,644.87 : x
  2. Step 2: Convert to fraction form
    8,634.17/11,903.68 = 5,644.87/x
  3. Step 3: Cross multiply
    8,634.17x = 11,903.68 × 5,644.87
  4. Step 4: Simplify right side
    8,634.17x = 67,194,726.12
  5. Step 5: Solve for x
    x = 67,194,726.12/8,634.17
  6. Step 6: Final answer
    x = 7,782.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.