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Finding the Fourth Proportional to 8,212.92, 12,303.80 and 4,874.12

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Solution

The fourth proportional to 8,212.92, 12,303.80 and 4,874.12 is: 7,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.92 : 12,303.80 = 4,874.12 : x
  2. Step 2: Convert to fraction form
    8,212.92/12,303.80 = 4,874.12/x
  3. Step 3: Cross multiply
    8,212.92x = 12,303.80 × 4,874.12
  4. Step 4: Simplify right side
    8,212.92x = 59,970,197.66
  5. Step 5: Solve for x
    x = 59,970,197.66/8,212.92
  6. Step 6: Final answer
    x = 7,301.93

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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.