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Finding the Fourth Proportional to 10,188.56, 14,058.96 and 5,996

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Solution

The fourth proportional to 10,188.56, 14,058.96 and 5,996 is: 8,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.56 : 14,058.96 = 5,996 : x
  2. Step 2: Convert to fraction form
    10,188.56/14,058.96 = 5,996/x
  3. Step 3: Cross multiply
    10,188.56x = 14,058.96 × 5,996
  4. Step 4: Simplify right side
    10,188.56x = 84,297,524.16
  5. Step 5: Solve for x
    x = 84,297,524.16/10,188.56
  6. Step 6: Final answer
    x = 8,273.74

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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.