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Finding the Fourth Proportional to 10,581.22, 14,601.90 and 5,865.54

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Solution

The fourth proportional to 10,581.22, 14,601.90 and 5,865.54 is: 8,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.22 : 14,601.90 = 5,865.54 : x
  2. Step 2: Convert to fraction form
    10,581.22/14,601.90 = 5,865.54/x
  3. Step 3: Cross multiply
    10,581.22x = 14,601.90 × 5,865.54
  4. Step 4: Simplify right side
    10,581.22x = 85,648,028.53
  5. Step 5: Solve for x
    x = 85,648,028.53/10,581.22
  6. Step 6: Final answer
    x = 8,094.34

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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.