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Finding the Fourth Proportional to 12,078.78, 18,137.61 and 7,490.94

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Solution

The fourth proportional to 12,078.78, 18,137.61 and 7,490.94 is: 11,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.78 : 18,137.61 = 7,490.94 : x
  2. Step 2: Convert to fraction form
    12,078.78/18,137.61 = 7,490.94/x
  3. Step 3: Cross multiply
    12,078.78x = 18,137.61 × 7,490.94
  4. Step 4: Simplify right side
    12,078.78x = 135,867,748.25
  5. Step 5: Solve for x
    x = 135,867,748.25/12,078.78
  6. Step 6: Final answer
    x = 11,248.47

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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.