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Finding the Fourth Proportional to 10,621.86, 14,658.20 and 5,906.13

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Solution

The fourth proportional to 10,621.86, 14,658.20 and 5,906.13 is: 8,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.86 : 14,658.20 = 5,906.13 : x
  2. Step 2: Convert to fraction form
    10,621.86/14,658.20 = 5,906.13/x
  3. Step 3: Cross multiply
    10,621.86x = 14,658.20 × 5,906.13
  4. Step 4: Simplify right side
    10,621.86x = 86,573,234.77
  5. Step 5: Solve for x
    x = 86,573,234.77/10,621.86
  6. Step 6: Final answer
    x = 8,150.48

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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.