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Finding the Fourth Proportional to 7,107.06, 10,659.39 and 1,911.78

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Solution

The fourth proportional to 7,107.06, 10,659.39 and 1,911.78 is: 2,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.06 : 10,659.39 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    7,107.06/10,659.39 = 1,911.78/x
  3. Step 3: Cross multiply
    7,107.06x = 10,659.39 × 1,911.78
  4. Step 4: Simplify right side
    7,107.06x = 20,378,408.61
  5. Step 5: Solve for x
    x = 20,378,408.61/7,107.06
  6. Step 6: Final answer
    x = 2,867.35

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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.