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Finding the Fourth Proportional to 11,103.14, 16,652.55 and 3,205.10

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Solution

The fourth proportional to 11,103.14, 16,652.55 and 3,205.10 is: 4,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.14 : 16,652.55 = 3,205.10 : x
  2. Step 2: Convert to fraction form
    11,103.14/16,652.55 = 3,205.10/x
  3. Step 3: Cross multiply
    11,103.14x = 16,652.55 × 3,205.10
  4. Step 4: Simplify right side
    11,103.14x = 53,373,088.01
  5. Step 5: Solve for x
    x = 53,373,088.01/11,103.14
  6. Step 6: Final answer
    x = 4,807.03

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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.