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Finding the Fourth Proportional to 8,191.94, 11,304.54 and 4,834.88

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Solution

The fourth proportional to 8,191.94, 11,304.54 and 4,834.88 is: 6,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.94 : 11,304.54 = 4,834.88 : x
  2. Step 2: Convert to fraction form
    8,191.94/11,304.54 = 4,834.88/x
  3. Step 3: Cross multiply
    8,191.94x = 11,304.54 × 4,834.88
  4. Step 4: Simplify right side
    8,191.94x = 54,656,094.36
  5. Step 5: Solve for x
    x = 54,656,094.36/8,191.94
  6. Step 6: Final answer
    x = 6,671.94

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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.