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Finding the Fourth Proportional to 8,225.06, 12,341.64 and 3,841.88

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Solution

The fourth proportional to 8,225.06, 12,341.64 and 3,841.88 is: 5,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.06 : 12,341.64 = 3,841.88 : x
  2. Step 2: Convert to fraction form
    8,225.06/12,341.64 = 3,841.88/x
  3. Step 3: Cross multiply
    8,225.06x = 12,341.64 × 3,841.88
  4. Step 4: Simplify right side
    8,225.06x = 47,415,099.88
  5. Step 5: Solve for x
    x = 47,415,099.88/8,225.06
  6. Step 6: Final answer
    x = 5,764.71

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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.