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Finding the Fourth Proportional to 8,023.86, 12,037.85 and 3,342.32

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Solution

The fourth proportional to 8,023.86, 12,037.85 and 3,342.32 is: 5,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.86 : 12,037.85 = 3,342.32 : x
  2. Step 2: Convert to fraction form
    8,023.86/12,037.85 = 3,342.32/x
  3. Step 3: Cross multiply
    8,023.86x = 12,037.85 × 3,342.32
  4. Step 4: Simplify right side
    8,023.86x = 40,234,346.81
  5. Step 5: Solve for x
    x = 40,234,346.81/8,023.86
  6. Step 6: Final answer
    x = 5,014.34

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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.