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Finding the Fourth Proportional to 8,389.99, 11,578.23 and 4,613.40

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Solution

The fourth proportional to 8,389.99, 11,578.23 and 4,613.40 is: 6,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.99 : 11,578.23 = 4,613.40 : x
  2. Step 2: Convert to fraction form
    8,389.99/11,578.23 = 4,613.40/x
  3. Step 3: Cross multiply
    8,389.99x = 11,578.23 × 4,613.40
  4. Step 4: Simplify right side
    8,389.99x = 53,414,979.44
  5. Step 5: Solve for x
    x = 53,414,979.44/8,389.99
  6. Step 6: Final answer
    x = 6,366.51

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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.