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Finding the Fourth Proportional to 8,324.72, 11,483.78 and 5,636.02

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Solution

The fourth proportional to 8,324.72, 11,483.78 and 5,636.02 is: 7,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.72 : 11,483.78 = 5,636.02 : x
  2. Step 2: Convert to fraction form
    8,324.72/11,483.78 = 5,636.02/x
  3. Step 3: Cross multiply
    8,324.72x = 11,483.78 × 5,636.02
  4. Step 4: Simplify right side
    8,324.72x = 64,722,813.76
  5. Step 5: Solve for x
    x = 64,722,813.76/8,324.72
  6. Step 6: Final answer
    x = 7,774.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.