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Finding the Fourth Proportional to 10,296.83, 15,466.64 and 8,324.69

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Solution

The fourth proportional to 10,296.83, 15,466.64 and 8,324.69 is: 12,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.83 : 15,466.64 = 8,324.69 : x
  2. Step 2: Convert to fraction form
    10,296.83/15,466.64 = 8,324.69/x
  3. Step 3: Cross multiply
    10,296.83x = 15,466.64 × 8,324.69
  4. Step 4: Simplify right side
    10,296.83x = 128,754,864.38
  5. Step 5: Solve for x
    x = 128,754,864.38/10,296.83
  6. Step 6: Final answer
    x = 12,504.33

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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.