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Finding the Fourth Proportional to 10,630.17, 14,669.69 and 5,914.44

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Solution

The fourth proportional to 10,630.17, 14,669.69 and 5,914.44 is: 8,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.17 : 14,669.69 = 5,914.44 : x
  2. Step 2: Convert to fraction form
    10,630.17/14,669.69 = 5,914.44/x
  3. Step 3: Cross multiply
    10,630.17x = 14,669.69 × 5,914.44
  4. Step 4: Simplify right side
    10,630.17x = 86,762,971.75
  5. Step 5: Solve for x
    x = 86,762,971.75/10,630.17
  6. Step 6: Final answer
    x = 8,161.96

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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.