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Finding the Fourth Proportional to 8,192.68, 11,305.14 and 4,655.20

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Solution

The fourth proportional to 8,192.68, 11,305.14 and 4,655.20 is: 6,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.68 : 11,305.14 = 4,655.20 : x
  2. Step 2: Convert to fraction form
    8,192.68/11,305.14 = 4,655.20/x
  3. Step 3: Cross multiply
    8,192.68x = 11,305.14 × 4,655.20
  4. Step 4: Simplify right side
    8,192.68x = 52,627,687.73
  5. Step 5: Solve for x
    x = 52,627,687.73/8,192.68
  6. Step 6: Final answer
    x = 6,423.75

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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.