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Finding the Fourth Proportional to 10,622.35, 14,659.41 and 5,906.53

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Solution

The fourth proportional to 10,622.35, 14,659.41 and 5,906.53 is: 8,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.35 : 14,659.41 = 5,906.53 : x
  2. Step 2: Convert to fraction form
    10,622.35/14,659.41 = 5,906.53/x
  3. Step 3: Cross multiply
    10,622.35x = 14,659.41 × 5,906.53
  4. Step 4: Simplify right side
    10,622.35x = 86,586,244.95
  5. Step 5: Solve for x
    x = 86,586,244.95/10,622.35
  6. Step 6: Final answer
    x = 8,151.33

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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.