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Finding the Fourth Proportional to 8,090.64, 12,139.74 and 4,192.92

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Solution

The fourth proportional to 8,090.64, 12,139.74 and 4,192.92 is: 6,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.64 : 12,139.74 = 4,192.92 : x
  2. Step 2: Convert to fraction form
    8,090.64/12,139.74 = 4,192.92/x
  3. Step 3: Cross multiply
    8,090.64x = 12,139.74 × 4,192.92
  4. Step 4: Simplify right side
    8,090.64x = 50,900,958.64
  5. Step 5: Solve for x
    x = 50,900,958.64/8,090.64
  6. Step 6: Final answer
    x = 6,291.34

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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.