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Finding the Fourth Proportional to 7,349.61, 10,142.46 and 3,992.43

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Solution

The fourth proportional to 7,349.61, 10,142.46 and 3,992.43 is: 5,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.61 : 10,142.46 = 3,992.43 : x
  2. Step 2: Convert to fraction form
    7,349.61/10,142.46 = 3,992.43/x
  3. Step 3: Cross multiply
    7,349.61x = 10,142.46 × 3,992.43
  4. Step 4: Simplify right side
    7,349.61x = 40,493,061.58
  5. Step 5: Solve for x
    x = 40,493,061.58/7,349.61
  6. Step 6: Final answer
    x = 5,509.55

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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.