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Finding the Fourth Proportional to 11,407.98, 17,114.72 and 3,616.80

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Solution

The fourth proportional to 11,407.98, 17,114.72 and 3,616.80 is: 5,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.98 : 17,114.72 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    11,407.98/17,114.72 = 3,616.80/x
  3. Step 3: Cross multiply
    11,407.98x = 17,114.72 × 3,616.80
  4. Step 4: Simplify right side
    11,407.98x = 61,900,519.30
  5. Step 5: Solve for x
    x = 61,900,519.30/11,407.98
  6. Step 6: Final answer
    x = 5,426.07

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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.