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Finding the Fourth Proportional to 7,342.92, 10,134.99 and 4,200.96

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Solution

The fourth proportional to 7,342.92, 10,134.99 and 4,200.96 is: 5,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.92 : 10,134.99 = 4,200.96 : x
  2. Step 2: Convert to fraction form
    7,342.92/10,134.99 = 4,200.96/x
  3. Step 3: Cross multiply
    7,342.92x = 10,134.99 × 4,200.96
  4. Step 4: Simplify right side
    7,342.92x = 42,576,687.59
  5. Step 5: Solve for x
    x = 42,576,687.59/7,342.92
  6. Step 6: Final answer
    x = 5,798.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.