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Finding the Fourth Proportional to 10,232.86, 15,349.60 and 3,992.62

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Solution

The fourth proportional to 10,232.86, 15,349.60 and 3,992.62 is: 5,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.86 : 15,349.60 = 3,992.62 : x
  2. Step 2: Convert to fraction form
    10,232.86/15,349.60 = 3,992.62/x
  3. Step 3: Cross multiply
    10,232.86x = 15,349.60 × 3,992.62
  4. Step 4: Simplify right side
    10,232.86x = 61,285,119.95
  5. Step 5: Solve for x
    x = 61,285,119.95/10,232.86
  6. Step 6: Final answer
    x = 5,989.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.