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Finding the Fourth Proportional to 10,658.18, 14,704.42 and 6,179.46

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Solution

The fourth proportional to 10,658.18, 14,704.42 and 6,179.46 is: 8,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.18 : 14,704.42 = 6,179.46 : x
  2. Step 2: Convert to fraction form
    10,658.18/14,704.42 = 6,179.46/x
  3. Step 3: Cross multiply
    10,658.18x = 14,704.42 × 6,179.46
  4. Step 4: Simplify right side
    10,658.18x = 90,865,375.21
  5. Step 5: Solve for x
    x = 90,865,375.21/10,658.18
  6. Step 6: Final answer
    x = 8,525.41

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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.