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Finding the Fourth Proportional to 7,057.61, 10,586.42 and 2,896.84

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Solution

The fourth proportional to 7,057.61, 10,586.42 and 2,896.84 is: 4,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.61 : 10,586.42 = 2,896.84 : x
  2. Step 2: Convert to fraction form
    7,057.61/10,586.42 = 2,896.84/x
  3. Step 3: Cross multiply
    7,057.61x = 10,586.42 × 2,896.84
  4. Step 4: Simplify right side
    7,057.61x = 30,667,164.91
  5. Step 5: Solve for x
    x = 30,667,164.91/7,057.61
  6. Step 6: Final answer
    x = 4,345.26

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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.