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Finding the Fourth Proportional to 10,622.96, 14,659.08 and 5,906.96

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Solution

The fourth proportional to 10,622.96, 14,659.08 and 5,906.96 is: 8,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.96 : 14,659.08 = 5,906.96 : x
  2. Step 2: Convert to fraction form
    10,622.96/14,659.08 = 5,906.96/x
  3. Step 3: Cross multiply
    10,622.96x = 14,659.08 × 5,906.96
  4. Step 4: Simplify right side
    10,622.96x = 86,590,599.20
  5. Step 5: Solve for x
    x = 86,590,599.20/10,622.96
  6. Step 6: Final answer
    x = 8,151.27

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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.