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Finding the Fourth Proportional to 10,630.36, 14,669.16 and 5,914.12

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Solution

The fourth proportional to 10,630.36, 14,669.16 and 5,914.12 is: 8,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.36 : 14,669.16 = 5,914.12 : x
  2. Step 2: Convert to fraction form
    10,630.36/14,669.16 = 5,914.12/x
  3. Step 3: Cross multiply
    10,630.36x = 14,669.16 × 5,914.12
  4. Step 4: Simplify right side
    10,630.36x = 86,755,172.54
  5. Step 5: Solve for x
    x = 86,755,172.54/10,630.36
  6. Step 6: Final answer
    x = 8,161.08

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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.