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Finding the Fourth Proportional to 11,592.48, 15,997.52 and 6,287.20

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Solution

The fourth proportional to 11,592.48, 15,997.52 and 6,287.20 is: 8,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.48 : 15,997.52 = 6,287.20 : x
  2. Step 2: Convert to fraction form
    11,592.48/15,997.52 = 6,287.20/x
  3. Step 3: Cross multiply
    11,592.48x = 15,997.52 × 6,287.20
  4. Step 4: Simplify right side
    11,592.48x = 100,579,607.74
  5. Step 5: Solve for x
    x = 100,579,607.74/11,592.48
  6. Step 6: Final answer
    x = 8,676.28

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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.