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Finding the Fourth Proportional to 10,658.43, 14,704.77 and 6,179.71

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Solution

The fourth proportional to 10,658.43, 14,704.77 and 6,179.71 is: 8,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.43 : 14,704.77 = 6,179.71 : x
  2. Step 2: Convert to fraction form
    10,658.43/14,704.77 = 6,179.71/x
  3. Step 3: Cross multiply
    10,658.43x = 14,704.77 × 6,179.71
  4. Step 4: Simplify right side
    10,658.43x = 90,871,214.22
  5. Step 5: Solve for x
    x = 90,871,214.22/10,658.43
  6. Step 6: Final answer
    x = 8,525.76

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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.