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Finding the Fourth Proportional to 11,596.06, 15,995.28 and 6,877

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Solution

The fourth proportional to 11,596.06, 15,995.28 and 6,877 is: 9,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.06 : 15,995.28 = 6,877 : x
  2. Step 2: Convert to fraction form
    11,596.06/15,995.28 = 6,877/x
  3. Step 3: Cross multiply
    11,596.06x = 15,995.28 × 6,877
  4. Step 4: Simplify right side
    11,596.06x = 109,999,540.56
  5. Step 5: Solve for x
    x = 109,999,540.56/11,596.06
  6. Step 6: Final answer
    x = 9,485.94

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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.