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Finding the Fourth Proportional to 11,468.30, 17,204.16 and 4,072.14

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Solution

The fourth proportional to 11,468.30, 17,204.16 and 4,072.14 is: 6,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.30 : 17,204.16 = 4,072.14 : x
  2. Step 2: Convert to fraction form
    11,468.30/17,204.16 = 4,072.14/x
  3. Step 3: Cross multiply
    11,468.30x = 17,204.16 × 4,072.14
  4. Step 4: Simplify right side
    11,468.30x = 70,057,727.74
  5. Step 5: Solve for x
    x = 70,057,727.74/11,468.30
  6. Step 6: Final answer
    x = 6,108.82

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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.