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Finding the Fourth Proportional to 10,622.98, 14,658.91 and 5,906.86

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Solution

The fourth proportional to 10,622.98, 14,658.91 and 5,906.86 is: 8,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.98 : 14,658.91 = 5,906.86 : x
  2. Step 2: Convert to fraction form
    10,622.98/14,658.91 = 5,906.86/x
  3. Step 3: Cross multiply
    10,622.98x = 14,658.91 × 5,906.86
  4. Step 4: Simplify right side
    10,622.98x = 86,588,129.12
  5. Step 5: Solve for x
    x = 86,588,129.12/10,622.98
  6. Step 6: Final answer
    x = 8,151.02

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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.