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Finding the Fourth Proportional to 8,896.24, 13,324.92 and 4,506.16

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Solution

The fourth proportional to 8,896.24, 13,324.92 and 4,506.16 is: 6,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.24 : 13,324.92 = 4,506.16 : x
  2. Step 2: Convert to fraction form
    8,896.24/13,324.92 = 4,506.16/x
  3. Step 3: Cross multiply
    8,896.24x = 13,324.92 × 4,506.16
  4. Step 4: Simplify right side
    8,896.24x = 60,044,221.51
  5. Step 5: Solve for x
    x = 60,044,221.51/8,896.24
  6. Step 6: Final answer
    x = 6,749.39

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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.