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Finding the Fourth Proportional to 6,998.57, 10,499.27 and 2,068.10

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Solution

The fourth proportional to 6,998.57, 10,499.27 and 2,068.10 is: 3,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.57 : 10,499.27 = 2,068.10 : x
  2. Step 2: Convert to fraction form
    6,998.57/10,499.27 = 2,068.10/x
  3. Step 3: Cross multiply
    6,998.57x = 10,499.27 × 2,068.10
  4. Step 4: Simplify right side
    6,998.57x = 21,713,477.45
  5. Step 5: Solve for x
    x = 21,713,477.45/6,998.57
  6. Step 6: Final answer
    x = 3,102.56

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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.