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Finding the Fourth Proportional to 6,722.88, 10,078.40 and 2,616

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Solution

The fourth proportional to 6,722.88, 10,078.40 and 2,616 is: 3,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.88 : 10,078.40 = 2,616 : x
  2. Step 2: Convert to fraction form
    6,722.88/10,078.40 = 2,616/x
  3. Step 3: Cross multiply
    6,722.88x = 10,078.40 × 2,616
  4. Step 4: Simplify right side
    6,722.88x = 26,365,094.40
  5. Step 5: Solve for x
    x = 26,365,094.40/6,722.88
  6. Step 6: Final answer
    x = 3,921.70

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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.