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Finding the Fourth Proportional to 6,705.96, 10,059.21 and 2,264.10

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Solution

The fourth proportional to 6,705.96, 10,059.21 and 2,264.10 is: 3,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.96 : 10,059.21 = 2,264.10 : x
  2. Step 2: Convert to fraction form
    6,705.96/10,059.21 = 2,264.10/x
  3. Step 3: Cross multiply
    6,705.96x = 10,059.21 × 2,264.10
  4. Step 4: Simplify right side
    6,705.96x = 22,775,057.36
  5. Step 5: Solve for x
    x = 22,775,057.36/6,705.96
  6. Step 6: Final answer
    x = 3,396.24

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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.