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Finding the Fourth Proportional to 8,192.79, 11,307.39 and 4,836.42

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Solution

The fourth proportional to 8,192.79, 11,307.39 and 4,836.42 is: 6,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.79 : 11,307.39 = 4,836.42 : x
  2. Step 2: Convert to fraction form
    8,192.79/11,307.39 = 4,836.42/x
  3. Step 3: Cross multiply
    8,192.79x = 11,307.39 × 4,836.42
  4. Step 4: Simplify right side
    8,192.79x = 54,687,287.14
  5. Step 5: Solve for x
    x = 54,687,287.14/8,192.79
  6. Step 6: Final answer
    x = 6,675.05

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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.