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Finding the Fourth Proportional to 11,464.66, 17,119.34 and 9,098.09

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Solution

The fourth proportional to 11,464.66, 17,119.34 and 9,098.09 is: 13,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.66 : 17,119.34 = 9,098.09 : x
  2. Step 2: Convert to fraction form
    11,464.66/17,119.34 = 9,098.09/x
  3. Step 3: Cross multiply
    11,464.66x = 17,119.34 × 9,098.09
  4. Step 4: Simplify right side
    11,464.66x = 155,753,296.06
  5. Step 5: Solve for x
    x = 155,753,296.06/11,464.66
  6. Step 6: Final answer
    x = 13,585.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.