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Finding the Fourth Proportional to 10,060.89, 13,889.03 and 6,286.16

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Solution

The fourth proportional to 10,060.89, 13,889.03 and 6,286.16 is: 8,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.89 : 13,889.03 = 6,286.16 : x
  2. Step 2: Convert to fraction form
    10,060.89/13,889.03 = 6,286.16/x
  3. Step 3: Cross multiply
    10,060.89x = 13,889.03 × 6,286.16
  4. Step 4: Simplify right side
    10,060.89x = 87,308,563.95
  5. Step 5: Solve for x
    x = 87,308,563.95/10,060.89
  6. Step 6: Final answer
    x = 8,678.02

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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.