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Finding the Fourth Proportional to 8,192.72, 11,306 and 4,789.92

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Solution

The fourth proportional to 8,192.72, 11,306 and 4,789.92 is: 6,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.72 : 11,306 = 4,789.92 : x
  2. Step 2: Convert to fraction form
    8,192.72/11,306 = 4,789.92/x
  3. Step 3: Cross multiply
    8,192.72x = 11,306 × 4,789.92
  4. Step 4: Simplify right side
    8,192.72x = 54,154,835.52
  5. Step 5: Solve for x
    x = 54,154,835.52/8,192.72
  6. Step 6: Final answer
    x = 6,610.12

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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.