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Finding the Fourth Proportional to 8,148.96, 12,221.70 and 2,305.62

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Solution

The fourth proportional to 8,148.96, 12,221.70 and 2,305.62 is: 3,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.96 : 12,221.70 = 2,305.62 : x
  2. Step 2: Convert to fraction form
    8,148.96/12,221.70 = 2,305.62/x
  3. Step 3: Cross multiply
    8,148.96x = 12,221.70 × 2,305.62
  4. Step 4: Simplify right side
    8,148.96x = 28,178,595.95
  5. Step 5: Solve for x
    x = 28,178,595.95/8,148.96
  6. Step 6: Final answer
    x = 3,457.94

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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.