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Finding the Fourth Proportional to 11,498.69, 17,233.61 and 4,917.14

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Solution

The fourth proportional to 11,498.69, 17,233.61 and 4,917.14 is: 7,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.69 : 17,233.61 = 4,917.14 : x
  2. Step 2: Convert to fraction form
    11,498.69/17,233.61 = 4,917.14/x
  3. Step 3: Cross multiply
    11,498.69x = 17,233.61 × 4,917.14
  4. Step 4: Simplify right side
    11,498.69x = 84,739,962.32
  5. Step 5: Solve for x
    x = 84,739,962.32/11,498.69
  6. Step 6: Final answer
    x = 7,369.53

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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.