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Finding the Fourth Proportional to 10,622.05, 14,657.82 and 5,906.23

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Solution

The fourth proportional to 10,622.05, 14,657.82 and 5,906.23 is: 8,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.05 : 14,657.82 = 5,906.23 : x
  2. Step 2: Convert to fraction form
    10,622.05/14,657.82 = 5,906.23/x
  3. Step 3: Cross multiply
    10,622.05x = 14,657.82 × 5,906.23
  4. Step 4: Simplify right side
    10,622.05x = 86,572,382.93
  5. Step 5: Solve for x
    x = 86,572,382.93/10,622.05
  6. Step 6: Final answer
    x = 8,150.26

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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.