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Finding the Fourth Proportional to 10,588.23, 14,611.41 and 5,872.86

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Solution

The fourth proportional to 10,588.23, 14,611.41 and 5,872.86 is: 8,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.23 : 14,611.41 = 5,872.86 : x
  2. Step 2: Convert to fraction form
    10,588.23/14,611.41 = 5,872.86/x
  3. Step 3: Cross multiply
    10,588.23x = 14,611.41 × 5,872.86
  4. Step 4: Simplify right side
    10,588.23x = 85,810,765.33
  5. Step 5: Solve for x
    x = 85,810,765.33/10,588.23
  6. Step 6: Final answer
    x = 8,104.35

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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.