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Finding the Fourth Proportional to 11,839.65, 16,336.53 and 7,591.47

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Solution

The fourth proportional to 11,839.65, 16,336.53 and 7,591.47 is: 10,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.65 : 16,336.53 = 7,591.47 : x
  2. Step 2: Convert to fraction form
    11,839.65/16,336.53 = 7,591.47/x
  3. Step 3: Cross multiply
    11,839.65x = 16,336.53 × 7,591.47
  4. Step 4: Simplify right side
    11,839.65x = 124,018,277.40
  5. Step 5: Solve for x
    x = 124,018,277.40/11,839.65
  6. Step 6: Final answer
    x = 10,474.83

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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.