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Finding the Fourth Proportional to 11,592.36, 15,986.42 and 7,616.84

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Solution

The fourth proportional to 11,592.36, 15,986.42 and 7,616.84 is: 10,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.36 : 15,986.42 = 7,616.84 : x
  2. Step 2: Convert to fraction form
    11,592.36/15,986.42 = 7,616.84/x
  3. Step 3: Cross multiply
    11,592.36x = 15,986.42 × 7,616.84
  4. Step 4: Simplify right side
    11,592.36x = 121,766,003.31
  5. Step 5: Solve for x
    x = 121,766,003.31/11,592.36
  6. Step 6: Final answer
    x = 10,503.99

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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.