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Finding the Fourth Proportional to 11,817.48, 16,302.90 and 7,839.24

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Solution

The fourth proportional to 11,817.48, 16,302.90 and 7,839.24 is: 10,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.48 : 16,302.90 = 7,839.24 : x
  2. Step 2: Convert to fraction form
    11,817.48/16,302.90 = 7,839.24/x
  3. Step 3: Cross multiply
    11,817.48x = 16,302.90 × 7,839.24
  4. Step 4: Simplify right side
    11,817.48x = 127,802,345.80
  5. Step 5: Solve for x
    x = 127,802,345.80/11,817.48
  6. Step 6: Final answer
    x = 10,814.69

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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.