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Finding the Fourth Proportional to 11,102.74, 16,654.12 and 3,097.20

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Solution

The fourth proportional to 11,102.74, 16,654.12 and 3,097.20 is: 4,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.74 : 16,654.12 = 3,097.20 : x
  2. Step 2: Convert to fraction form
    11,102.74/16,654.12 = 3,097.20/x
  3. Step 3: Cross multiply
    11,102.74x = 16,654.12 × 3,097.20
  4. Step 4: Simplify right side
    11,102.74x = 51,581,083.34
  5. Step 5: Solve for x
    x = 51,581,083.34/11,102.74
  6. Step 6: Final answer
    x = 4,645.80

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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.