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Finding the Fourth Proportional to 11,102.72, 16,645.85 and 6,719.14

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Solution

The fourth proportional to 11,102.72, 16,645.85 and 6,719.14 is: 10,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.72 : 16,645.85 = 6,719.14 : x
  2. Step 2: Convert to fraction form
    11,102.72/16,645.85 = 6,719.14/x
  3. Step 3: Cross multiply
    11,102.72x = 16,645.85 × 6,719.14
  4. Step 4: Simplify right side
    11,102.72x = 111,845,679.74
  5. Step 5: Solve for x
    x = 111,845,679.74/11,102.72
  6. Step 6: Final answer
    x = 10,073.72

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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.