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Finding the Fourth Proportional to 7,349.59, 10,142.39 and 3,992.38

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Solution

The fourth proportional to 7,349.59, 10,142.39 and 3,992.38 is: 5,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.59 : 10,142.39 = 3,992.38 : x
  2. Step 2: Convert to fraction form
    7,349.59/10,142.39 = 3,992.38/x
  3. Step 3: Cross multiply
    7,349.59x = 10,142.39 × 3,992.38
  4. Step 4: Simplify right side
    7,349.59x = 40,492,274.99
  5. Step 5: Solve for x
    x = 40,492,274.99/7,349.59
  6. Step 6: Final answer
    x = 5,509.46

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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.