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Finding the Fourth Proportional to 11,592.24, 15,998.40 and 6,876.24

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Solution

The fourth proportional to 11,592.24, 15,998.40 and 6,876.24 is: 9,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.24 : 15,998.40 = 6,876.24 : x
  2. Step 2: Convert to fraction form
    11,592.24/15,998.40 = 6,876.24/x
  3. Step 3: Cross multiply
    11,592.24x = 15,998.40 × 6,876.24
  4. Step 4: Simplify right side
    11,592.24x = 110,008,838.02
  5. Step 5: Solve for x
    x = 110,008,838.02/11,592.24
  6. Step 6: Final answer
    x = 9,489.87

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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.