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Finding the Fourth Proportional to 7,057.86, 10,586.49 and 2,377.56

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Solution

The fourth proportional to 7,057.86, 10,586.49 and 2,377.56 is: 3,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.86 : 10,586.49 = 2,377.56 : x
  2. Step 2: Convert to fraction form
    7,057.86/10,586.49 = 2,377.56/x
  3. Step 3: Cross multiply
    7,057.86x = 10,586.49 × 2,377.56
  4. Step 4: Simplify right side
    7,057.86x = 25,170,015.16
  5. Step 5: Solve for x
    x = 25,170,015.16/7,057.86
  6. Step 6: Final answer
    x = 3,566.24

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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.