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Finding the Fourth Proportional to 8,194.77, 11,308.82 and 4,658.72

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Solution

The fourth proportional to 8,194.77, 11,308.82 and 4,658.72 is: 6,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.77 : 11,308.82 = 4,658.72 : x
  2. Step 2: Convert to fraction form
    8,194.77/11,308.82 = 4,658.72/x
  3. Step 3: Cross multiply
    8,194.77x = 11,308.82 × 4,658.72
  4. Step 4: Simplify right side
    8,194.77x = 52,684,546.07
  5. Step 5: Solve for x
    x = 52,684,546.07/8,194.77
  6. Step 6: Final answer
    x = 6,429.05

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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.