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Finding the Fourth Proportional to 10,194.62, 15,296.02 and 4,650.58

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Solution

The fourth proportional to 10,194.62, 15,296.02 and 4,650.58 is: 6,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.62 : 15,296.02 = 4,650.58 : x
  2. Step 2: Convert to fraction form
    10,194.62/15,296.02 = 4,650.58/x
  3. Step 3: Cross multiply
    10,194.62x = 15,296.02 × 4,650.58
  4. Step 4: Simplify right side
    10,194.62x = 71,135,364.69
  5. Step 5: Solve for x
    x = 71,135,364.69/10,194.62
  6. Step 6: Final answer
    x = 6,977.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.