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Finding the Fourth Proportional to 11,103.95, 16,657.03 and 3,206.66

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Solution

The fourth proportional to 11,103.95, 16,657.03 and 3,206.66 is: 4,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.95 : 16,657.03 = 3,206.66 : x
  2. Step 2: Convert to fraction form
    11,103.95/16,657.03 = 3,206.66/x
  3. Step 3: Cross multiply
    11,103.95x = 16,657.03 × 3,206.66
  4. Step 4: Simplify right side
    11,103.95x = 53,413,348.03
  5. Step 5: Solve for x
    x = 53,413,348.03/11,103.95
  6. Step 6: Final answer
    x = 4,810.30

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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.