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Finding the Fourth Proportional to 7,142.94, 10,715.13 and 2,462.33

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Solution

The fourth proportional to 7,142.94, 10,715.13 and 2,462.33 is: 3,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.94 : 10,715.13 = 2,462.33 : x
  2. Step 2: Convert to fraction form
    7,142.94/10,715.13 = 2,462.33/x
  3. Step 3: Cross multiply
    7,142.94x = 10,715.13 × 2,462.33
  4. Step 4: Simplify right side
    7,142.94x = 26,384,212.84
  5. Step 5: Solve for x
    x = 26,384,212.84/7,142.94
  6. Step 6: Final answer
    x = 3,693.75

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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.