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Finding the Fourth Proportional to 8,192.42, 11,306.04 and 4,656.32

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Solution

The fourth proportional to 8,192.42, 11,306.04 and 4,656.32 is: 6,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.42 : 11,306.04 = 4,656.32 : x
  2. Step 2: Convert to fraction form
    8,192.42/11,306.04 = 4,656.32/x
  3. Step 3: Cross multiply
    8,192.42x = 11,306.04 × 4,656.32
  4. Step 4: Simplify right side
    8,192.42x = 52,644,540.17
  5. Step 5: Solve for x
    x = 52,644,540.17/8,192.42
  6. Step 6: Final answer
    x = 6,426.01

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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.