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Finding the Fourth Proportional to 8,233.40, 12,254.06 and 8,207.80

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Solution

The fourth proportional to 8,233.40, 12,254.06 and 8,207.80 is: 12,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.40 : 12,254.06 = 8,207.80 : x
  2. Step 2: Convert to fraction form
    8,233.40/12,254.06 = 8,207.80/x
  3. Step 3: Cross multiply
    8,233.40x = 12,254.06 × 8,207.80
  4. Step 4: Simplify right side
    8,233.40x = 100,578,873.67
  5. Step 5: Solve for x
    x = 100,578,873.67/8,233.40
  6. Step 6: Final answer
    x = 12,215.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.