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Finding the Fourth Proportional to 7,057.14, 10,590.78 and 5,687.02

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Solution

The fourth proportional to 7,057.14, 10,590.78 and 5,687.02 is: 8,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.14 : 10,590.78 = 5,687.02 : x
  2. Step 2: Convert to fraction form
    7,057.14/10,590.78 = 5,687.02/x
  3. Step 3: Cross multiply
    7,057.14x = 10,590.78 × 5,687.02
  4. Step 4: Simplify right side
    7,057.14x = 60,230,012.24
  5. Step 5: Solve for x
    x = 60,230,012.24/7,057.14
  6. Step 6: Final answer
    x = 8,534.63

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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.