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Finding the Fourth Proportional to 10,018.81, 13,827.63 and 5,986.21

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Solution

The fourth proportional to 10,018.81, 13,827.63 and 5,986.21 is: 8,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.81 : 13,827.63 = 5,986.21 : x
  2. Step 2: Convert to fraction form
    10,018.81/13,827.63 = 5,986.21/x
  3. Step 3: Cross multiply
    10,018.81x = 13,827.63 × 5,986.21
  4. Step 4: Simplify right side
    10,018.81x = 82,775,096.98
  5. Step 5: Solve for x
    x = 82,775,096.98/10,018.81
  6. Step 6: Final answer
    x = 8,261.97

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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.