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Finding the Fourth Proportional to 8,090.96, 11,168.98 and 5,439.92

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Solution

The fourth proportional to 8,090.96, 11,168.98 and 5,439.92 is: 7,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.96 : 11,168.98 = 5,439.92 : x
  2. Step 2: Convert to fraction form
    8,090.96/11,168.98 = 5,439.92/x
  3. Step 3: Cross multiply
    8,090.96x = 11,168.98 × 5,439.92
  4. Step 4: Simplify right side
    8,090.96x = 60,758,288.24
  5. Step 5: Solve for x
    x = 60,758,288.24/8,090.96
  6. Step 6: Final answer
    x = 7,509.40

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Why These Related Problems?

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