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Finding the Fourth Proportional to 11,398.46, 17,098.68 and 3,078.44

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Solution

The fourth proportional to 11,398.46, 17,098.68 and 3,078.44 is: 4,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.46 : 17,098.68 = 3,078.44 : x
  2. Step 2: Convert to fraction form
    11,398.46/17,098.68 = 3,078.44/x
  3. Step 3: Cross multiply
    11,398.46x = 17,098.68 × 3,078.44
  4. Step 4: Simplify right side
    11,398.46x = 52,637,260.46
  5. Step 5: Solve for x
    x = 52,637,260.46/11,398.46
  6. Step 6: Final answer
    x = 4,617.93

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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.