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Finding the Fourth Proportional to 6,705.13, 10,053.09 and 3,411.85

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Solution

The fourth proportional to 6,705.13, 10,053.09 and 3,411.85 is: 5,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.13 : 10,053.09 = 3,411.85 : x
  2. Step 2: Convert to fraction form
    6,705.13/10,053.09 = 3,411.85/x
  3. Step 3: Cross multiply
    6,705.13x = 10,053.09 × 3,411.85
  4. Step 4: Simplify right side
    6,705.13x = 34,299,635.12
  5. Step 5: Solve for x
    x = 34,299,635.12/6,705.13
  6. Step 6: Final answer
    x = 5,115.43

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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.