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Finding the Fourth Proportional to 8,195.29, 12,296.54 and 4,298.78

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Solution

The fourth proportional to 8,195.29, 12,296.54 and 4,298.78 is: 6,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.29 : 12,296.54 = 4,298.78 : x
  2. Step 2: Convert to fraction form
    8,195.29/12,296.54 = 4,298.78/x
  3. Step 3: Cross multiply
    8,195.29x = 12,296.54 × 4,298.78
  4. Step 4: Simplify right side
    8,195.29x = 52,860,161.71
  5. Step 5: Solve for x
    x = 52,860,161.71/8,195.29
  6. Step 6: Final answer
    x = 6,450.07

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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.