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Finding the Fourth Proportional to 8,194.96, 11,309.82 and 4,838.80

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Solution

The fourth proportional to 8,194.96, 11,309.82 and 4,838.80 is: 6,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.96 : 11,309.82 = 4,838.80 : x
  2. Step 2: Convert to fraction form
    8,194.96/11,309.82 = 4,838.80/x
  3. Step 3: Cross multiply
    8,194.96x = 11,309.82 × 4,838.80
  4. Step 4: Simplify right side
    8,194.96x = 54,725,957.02
  5. Step 5: Solve for x
    x = 54,725,957.02/8,194.96
  6. Step 6: Final answer
    x = 6,678.00

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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.