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Finding the Fourth Proportional to 8,092.04, 11,162.41 and 4,946.00

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Solution

The fourth proportional to 8,092.04, 11,162.41 and 4,946.00 is: 6,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.04 : 11,162.41 = 4,946.00 : x
  2. Step 2: Convert to fraction form
    8,092.04/11,162.41 = 4,946.00/x
  3. Step 3: Cross multiply
    8,092.04x = 11,162.41 × 4,946.00
  4. Step 4: Simplify right side
    8,092.04x = 55,209,211.68
  5. Step 5: Solve for x
    x = 55,209,211.68/8,092.04
  6. Step 6: Final answer
    x = 6,822.66

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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.