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Finding the Fourth Proportional to 10,961.09, 16,444.07 and 5,114.51

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Solution

The fourth proportional to 10,961.09, 16,444.07 and 5,114.51 is: 7,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.09 : 16,444.07 = 5,114.51 : x
  2. Step 2: Convert to fraction form
    10,961.09/16,444.07 = 5,114.51/x
  3. Step 3: Cross multiply
    10,961.09x = 16,444.07 × 5,114.51
  4. Step 4: Simplify right side
    10,961.09x = 84,103,393.80
  5. Step 5: Solve for x
    x = 84,103,393.80/10,961.09
  6. Step 6: Final answer
    x = 7,672.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.