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Finding the Fourth Proportional to 8,192.02, 11,305.29 and 4,655.83

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Solution

The fourth proportional to 8,192.02, 11,305.29 and 4,655.83 is: 6,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.02 : 11,305.29 = 4,655.83 : x
  2. Step 2: Convert to fraction form
    8,192.02/11,305.29 = 4,655.83/x
  3. Step 3: Cross multiply
    8,192.02x = 11,305.29 × 4,655.83
  4. Step 4: Simplify right side
    8,192.02x = 52,635,508.34
  5. Step 5: Solve for x
    x = 52,635,508.34/8,192.02
  6. Step 6: Final answer
    x = 6,425.22

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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.