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Finding the Fourth Proportional to 10,077.44, 13,910.74 and 6,719.03

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Solution

The fourth proportional to 10,077.44, 13,910.74 and 6,719.03 is: 9,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.44 : 13,910.74 = 6,719.03 : x
  2. Step 2: Convert to fraction form
    10,077.44/13,910.74 = 6,719.03/x
  3. Step 3: Cross multiply
    10,077.44x = 13,910.74 × 6,719.03
  4. Step 4: Simplify right side
    10,077.44x = 93,466,593.03
  5. Step 5: Solve for x
    x = 93,466,593.03/10,077.44
  6. Step 6: Final answer
    x = 9,274.84

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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.