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Finding the Fourth Proportional to 11,658.26, 16,087.20 and 6,941.63

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Solution

The fourth proportional to 11,658.26, 16,087.20 and 6,941.63 is: 9,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.26 : 16,087.20 = 6,941.63 : x
  2. Step 2: Convert to fraction form
    11,658.26/16,087.20 = 6,941.63/x
  3. Step 3: Cross multiply
    11,658.26x = 16,087.20 × 6,941.63
  4. Step 4: Simplify right side
    11,658.26x = 111,671,390.14
  5. Step 5: Solve for x
    x = 111,671,390.14/11,658.26
  6. Step 6: Final answer
    x = 9,578.74

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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.