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Finding the Fourth Proportional to 8,369.28, 11,540.59 and 6,356.40

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Solution

The fourth proportional to 8,369.28, 11,540.59 and 6,356.40 is: 8,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.28 : 11,540.59 = 6,356.40 : x
  2. Step 2: Convert to fraction form
    8,369.28/11,540.59 = 6,356.40/x
  3. Step 3: Cross multiply
    8,369.28x = 11,540.59 × 6,356.40
  4. Step 4: Simplify right side
    8,369.28x = 73,356,606.28
  5. Step 5: Solve for x
    x = 73,356,606.28/8,369.28
  6. Step 6: Final answer
    x = 8,764.98

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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.