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Finding the Fourth Proportional to 8,256.04, 11,388.72 and 5,423.86

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Solution

The fourth proportional to 8,256.04, 11,388.72 and 5,423.86 is: 7,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.04 : 11,388.72 = 5,423.86 : x
  2. Step 2: Convert to fraction form
    8,256.04/11,388.72 = 5,423.86/x
  3. Step 3: Cross multiply
    8,256.04x = 11,388.72 × 5,423.86
  4. Step 4: Simplify right side
    8,256.04x = 61,770,822.86
  5. Step 5: Solve for x
    x = 61,770,822.86/8,256.04
  6. Step 6: Final answer
    x = 7,481.89

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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.