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Finding the Fourth Proportional to 8,384.99, 12,578.86 and 2,540.23

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Solution

The fourth proportional to 8,384.99, 12,578.86 and 2,540.23 is: 3,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.99 : 12,578.86 = 2,540.23 : x
  2. Step 2: Convert to fraction form
    8,384.99/12,578.86 = 2,540.23/x
  3. Step 3: Cross multiply
    8,384.99x = 12,578.86 × 2,540.23
  4. Step 4: Simplify right side
    8,384.99x = 31,953,159.74
  5. Step 5: Solve for x
    x = 31,953,159.74/8,384.99
  6. Step 6: Final answer
    x = 3,810.76

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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.