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Finding the Fourth Proportional to 6,998.25, 10,500.12 and 2,616.06

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Solution

The fourth proportional to 6,998.25, 10,500.12 and 2,616.06 is: 3,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.25 : 10,500.12 = 2,616.06 : x
  2. Step 2: Convert to fraction form
    6,998.25/10,500.12 = 2,616.06/x
  3. Step 3: Cross multiply
    6,998.25x = 10,500.12 × 2,616.06
  4. Step 4: Simplify right side
    6,998.25x = 27,468,943.93
  5. Step 5: Solve for x
    x = 27,468,943.93/6,998.25
  6. Step 6: Final answer
    x = 3,925.12

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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.