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Finding the Fourth Proportional to 7,349.68, 10,142.36 and 3,992.34

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Solution

The fourth proportional to 7,349.68, 10,142.36 and 3,992.34 is: 5,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.68 : 10,142.36 = 3,992.34 : x
  2. Step 2: Convert to fraction form
    7,349.68/10,142.36 = 3,992.34/x
  3. Step 3: Cross multiply
    7,349.68x = 10,142.36 × 3,992.34
  4. Step 4: Simplify right side
    7,349.68x = 40,491,749.52
  5. Step 5: Solve for x
    x = 40,491,749.52/7,349.68
  6. Step 6: Final answer
    x = 5,509.32

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Why These Related Problems?

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