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Finding the Fourth Proportional to 7,920.50, 11,878.86 and 2,655.70

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Solution

The fourth proportional to 7,920.50, 11,878.86 and 2,655.70 is: 3,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.50 : 11,878.86 = 2,655.70 : x
  2. Step 2: Convert to fraction form
    7,920.50/11,878.86 = 2,655.70/x
  3. Step 3: Cross multiply
    7,920.50x = 11,878.86 × 2,655.70
  4. Step 4: Simplify right side
    7,920.50x = 31,546,629.11
  5. Step 5: Solve for x
    x = 31,546,629.11/7,920.50
  6. Step 6: Final answer
    x = 3,982.91

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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.