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Finding the Fourth Proportional to 8,287.36, 11,436.24 and 4,561.36

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Solution

The fourth proportional to 8,287.36, 11,436.24 and 4,561.36 is: 6,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.36 : 11,436.24 = 4,561.36 : x
  2. Step 2: Convert to fraction form
    8,287.36/11,436.24 = 4,561.36/x
  3. Step 3: Cross multiply
    8,287.36x = 11,436.24 × 4,561.36
  4. Step 4: Simplify right side
    8,287.36x = 52,164,807.69
  5. Step 5: Solve for x
    x = 52,164,807.69/8,287.36
  6. Step 6: Final answer
    x = 6,294.50

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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.