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Finding the Fourth Proportional to 11,592.96, 15,998.40 and 6,288

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Solution

The fourth proportional to 11,592.96, 15,998.40 and 6,288 is: 8,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.96 : 15,998.40 = 6,288 : x
  2. Step 2: Convert to fraction form
    11,592.96/15,998.40 = 6,288/x
  3. Step 3: Cross multiply
    11,592.96x = 15,998.40 × 6,288
  4. Step 4: Simplify right side
    11,592.96x = 100,597,939.20
  5. Step 5: Solve for x
    x = 100,597,939.20/11,592.96
  6. Step 6: Final answer
    x = 8,677.50

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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.