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Finding the Fourth Proportional to 11,002.78, 16,503 and 3,105.10

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Solution

The fourth proportional to 11,002.78, 16,503 and 3,105.10 is: 4,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.78 : 16,503 = 3,105.10 : x
  2. Step 2: Convert to fraction form
    11,002.78/16,503 = 3,105.10/x
  3. Step 3: Cross multiply
    11,002.78x = 16,503 × 3,105.10
  4. Step 4: Simplify right side
    11,002.78x = 51,243,465.30
  5. Step 5: Solve for x
    x = 51,243,465.30/11,002.78
  6. Step 6: Final answer
    x = 4,657.32

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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.