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Finding the Fourth Proportional to 11,592.84, 15,998.10 and 6,287.66

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Solution

The fourth proportional to 11,592.84, 15,998.10 and 6,287.66 is: 8,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.84 : 15,998.10 = 6,287.66 : x
  2. Step 2: Convert to fraction form
    11,592.84/15,998.10 = 6,287.66/x
  3. Step 3: Cross multiply
    11,592.84x = 15,998.10 × 6,287.66
  4. Step 4: Simplify right side
    11,592.84x = 100,590,613.45
  5. Step 5: Solve for x
    x = 100,590,613.45/11,592.84
  6. Step 6: Final answer
    x = 8,676.96

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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.