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Finding the Fourth Proportional to 8,384.91, 12,578.90 and 2,762.90

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Solution

The fourth proportional to 8,384.91, 12,578.90 and 2,762.90 is: 4,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.91 : 12,578.90 = 2,762.90 : x
  2. Step 2: Convert to fraction form
    8,384.91/12,578.90 = 2,762.90/x
  3. Step 3: Cross multiply
    8,384.91x = 12,578.90 × 2,762.90
  4. Step 4: Simplify right side
    8,384.91x = 34,754,242.81
  5. Step 5: Solve for x
    x = 34,754,242.81/8,384.91
  6. Step 6: Final answer
    x = 4,144.86

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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.