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Finding the Fourth Proportional to 8,191.66, 11,304.54 and 4,557.78

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Solution

The fourth proportional to 8,191.66, 11,304.54 and 4,557.78 is: 6,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.66 : 11,304.54 = 4,557.78 : x
  2. Step 2: Convert to fraction form
    8,191.66/11,304.54 = 4,557.78/x
  3. Step 3: Cross multiply
    8,191.66x = 11,304.54 × 4,557.78
  4. Step 4: Simplify right side
    8,191.66x = 51,523,606.32
  5. Step 5: Solve for x
    x = 51,523,606.32/8,191.66
  6. Step 6: Final answer
    x = 6,289.76

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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.