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Finding the Fourth Proportional to 11,157.01, 16,738.33 and 7,876.51

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Solution

The fourth proportional to 11,157.01, 16,738.33 and 7,876.51 is: 11,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.01 : 16,738.33 = 7,876.51 : x
  2. Step 2: Convert to fraction form
    11,157.01/16,738.33 = 7,876.51/x
  3. Step 3: Cross multiply
    11,157.01x = 16,738.33 × 7,876.51
  4. Step 4: Simplify right side
    11,157.01x = 131,839,623.63
  5. Step 5: Solve for x
    x = 131,839,623.63/11,157.01
  6. Step 6: Final answer
    x = 11,816.75

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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.