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Finding the Fourth Proportional to 13,078.11, 18,050.41 and 7,771.90

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Solution

The fourth proportional to 13,078.11, 18,050.41 and 7,771.90 is: 10,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.11 : 18,050.41 = 7,771.90 : x
  2. Step 2: Convert to fraction form
    13,078.11/18,050.41 = 7,771.90/x
  3. Step 3: Cross multiply
    13,078.11x = 18,050.41 × 7,771.90
  4. Step 4: Simplify right side
    13,078.11x = 140,285,981.48
  5. Step 5: Solve for x
    x = 140,285,981.48/13,078.11
  6. Step 6: Final answer
    x = 10,726.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.