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Finding the Fourth Proportional to 11,592.51, 15,997.68 and 6,287.33

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Solution

The fourth proportional to 11,592.51, 15,997.68 and 6,287.33 is: 8,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.51 : 15,997.68 = 6,287.33 : x
  2. Step 2: Convert to fraction form
    11,592.51/15,997.68 = 6,287.33/x
  3. Step 3: Cross multiply
    11,592.51x = 15,997.68 × 6,287.33
  4. Step 4: Simplify right side
    11,592.51x = 100,582,613.41
  5. Step 5: Solve for x
    x = 100,582,613.41/11,592.51
  6. Step 6: Final answer
    x = 8,676.52

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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.