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Finding the Fourth Proportional to 11,398.15, 17,098.41 and 3,078.22

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Solution

The fourth proportional to 11,398.15, 17,098.41 and 3,078.22 is: 4,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.15 : 17,098.41 = 3,078.22 : x
  2. Step 2: Convert to fraction form
    11,398.15/17,098.41 = 3,078.22/x
  3. Step 3: Cross multiply
    11,398.15x = 17,098.41 × 3,078.22
  4. Step 4: Simplify right side
    11,398.15x = 52,632,667.63
  5. Step 5: Solve for x
    x = 52,632,667.63/11,398.15
  6. Step 6: Final answer
    x = 4,617.65

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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.