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Finding the Fourth Proportional to 8,538.84, 11,783.24 and 6,299.91

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Solution

The fourth proportional to 8,538.84, 11,783.24 and 6,299.91 is: 8,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.84 : 11,783.24 = 6,299.91 : x
  2. Step 2: Convert to fraction form
    8,538.84/11,783.24 = 6,299.91/x
  3. Step 3: Cross multiply
    8,538.84x = 11,783.24 × 6,299.91
  4. Step 4: Simplify right side
    8,538.84x = 74,233,320.01
  5. Step 5: Solve for x
    x = 74,233,320.01/8,538.84
  6. Step 6: Final answer
    x = 8,693.61

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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.