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Finding the Fourth Proportional to 7,349.42, 10,142.38 and 3,992.23

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Solution

The fourth proportional to 7,349.42, 10,142.38 and 3,992.23 is: 5,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.42 : 10,142.38 = 3,992.23 : x
  2. Step 2: Convert to fraction form
    7,349.42/10,142.38 = 3,992.23/x
  3. Step 3: Cross multiply
    7,349.42x = 10,142.38 × 3,992.23
  4. Step 4: Simplify right side
    7,349.42x = 40,490,670.89
  5. Step 5: Solve for x
    x = 40,490,670.89/7,349.42
  6. Step 6: Final answer
    x = 5,509.37

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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.