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Finding the Fourth Proportional to 8,321.12, 11,484.24 and 5,801.60

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Solution

The fourth proportional to 8,321.12, 11,484.24 and 5,801.60 is: 8,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.12 : 11,484.24 = 5,801.60 : x
  2. Step 2: Convert to fraction form
    8,321.12/11,484.24 = 5,801.60/x
  3. Step 3: Cross multiply
    8,321.12x = 11,484.24 × 5,801.60
  4. Step 4: Simplify right side
    8,321.12x = 66,626,966.78
  5. Step 5: Solve for x
    x = 66,626,966.78/8,321.12
  6. Step 6: Final answer
    x = 8,006.97

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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.