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Finding the Fourth Proportional to 7,921.50, 11,880.36 and 2,656.70

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Solution

The fourth proportional to 7,921.50, 11,880.36 and 2,656.70 is: 3,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.50 : 11,880.36 = 2,656.70 : x
  2. Step 2: Convert to fraction form
    7,921.50/11,880.36 = 2,656.70/x
  3. Step 3: Cross multiply
    7,921.50x = 11,880.36 × 2,656.70
  4. Step 4: Simplify right side
    7,921.50x = 31,562,493.01
  5. Step 5: Solve for x
    x = 31,562,493.01/7,921.50
  6. Step 6: Final answer
    x = 3,984.41

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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.