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Finding the Fourth Proportional to 7,057.30, 10,586.37 and 1,863.16

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Solution

The fourth proportional to 7,057.30, 10,586.37 and 1,863.16 is: 2,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.30 : 10,586.37 = 1,863.16 : x
  2. Step 2: Convert to fraction form
    7,057.30/10,586.37 = 1,863.16/x
  3. Step 3: Cross multiply
    7,057.30x = 10,586.37 × 1,863.16
  4. Step 4: Simplify right side
    7,057.30x = 19,724,101.13
  5. Step 5: Solve for x
    x = 19,724,101.13/7,057.30
  6. Step 6: Final answer
    x = 2,794.85

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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.