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Finding the Fourth Proportional to 7,057.64, 10,586.90 and 1,863.38

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Solution

The fourth proportional to 7,057.64, 10,586.90 and 1,863.38 is: 2,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.64 : 10,586.90 = 1,863.38 : x
  2. Step 2: Convert to fraction form
    7,057.64/10,586.90 = 1,863.38/x
  3. Step 3: Cross multiply
    7,057.64x = 10,586.90 × 1,863.38
  4. Step 4: Simplify right side
    7,057.64x = 19,727,369.45
  5. Step 5: Solve for x
    x = 19,727,369.45/7,057.64
  6. Step 6: Final answer
    x = 2,795.18

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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.