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Finding the Fourth Proportional to 7,349.71, 10,142.56 and 3,992.50

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Solution

The fourth proportional to 7,349.71, 10,142.56 and 3,992.50 is: 5,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.71 : 10,142.56 = 3,992.50 : x
  2. Step 2: Convert to fraction form
    7,349.71/10,142.56 = 3,992.50/x
  3. Step 3: Cross multiply
    7,349.71x = 10,142.56 × 3,992.50
  4. Step 4: Simplify right side
    7,349.71x = 40,494,170.80
  5. Step 5: Solve for x
    x = 40,494,170.80/7,349.71
  6. Step 6: Final answer
    x = 5,509.63

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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.