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Finding the Fourth Proportional to 10,588.44, 14,611.10 and 5,871.48

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Solution

The fourth proportional to 10,588.44, 14,611.10 and 5,871.48 is: 8,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.44 : 14,611.10 = 5,871.48 : x
  2. Step 2: Convert to fraction form
    10,588.44/14,611.10 = 5,871.48/x
  3. Step 3: Cross multiply
    10,588.44x = 14,611.10 × 5,871.48
  4. Step 4: Simplify right side
    10,588.44x = 85,788,781.43
  5. Step 5: Solve for x
    x = 85,788,781.43/10,588.44
  6. Step 6: Final answer
    x = 8,102.12

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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.