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Finding the Fourth Proportional to 8,390.35, 11,578.70 and 4,613.58

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Solution

The fourth proportional to 8,390.35, 11,578.70 and 4,613.58 is: 6,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.35 : 11,578.70 = 4,613.58 : x
  2. Step 2: Convert to fraction form
    8,390.35/11,578.70 = 4,613.58/x
  3. Step 3: Cross multiply
    8,390.35x = 11,578.70 × 4,613.58
  4. Step 4: Simplify right side
    8,390.35x = 53,419,235.68
  5. Step 5: Solve for x
    x = 53,419,235.68/8,390.35
  6. Step 6: Final answer
    x = 6,366.75

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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.