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Finding the Fourth Proportional to 11,102.14, 16,641.86 and 5,263.66

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Solution

The fourth proportional to 11,102.14, 16,641.86 and 5,263.66 is: 7,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.14 : 16,641.86 = 5,263.66 : x
  2. Step 2: Convert to fraction form
    11,102.14/16,641.86 = 5,263.66/x
  3. Step 3: Cross multiply
    11,102.14x = 16,641.86 × 5,263.66
  4. Step 4: Simplify right side
    11,102.14x = 87,597,092.81
  5. Step 5: Solve for x
    x = 87,597,092.81/11,102.14
  6. Step 6: Final answer
    x = 7,890.11

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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.