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Finding the Fourth Proportional to 10,712.67, 14,784.17 and 5,997.30

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Solution

The fourth proportional to 10,712.67, 14,784.17 and 5,997.30 is: 8,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.67 : 14,784.17 = 5,997.30 : x
  2. Step 2: Convert to fraction form
    10,712.67/14,784.17 = 5,997.30/x
  3. Step 3: Cross multiply
    10,712.67x = 14,784.17 × 5,997.30
  4. Step 4: Simplify right side
    10,712.67x = 88,665,072.75
  5. Step 5: Solve for x
    x = 88,665,072.75/10,712.67
  6. Step 6: Final answer
    x = 8,276.65

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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.