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Finding the Fourth Proportional to 8,626.84, 12,937.49 and 2,782.08

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Solution

The fourth proportional to 8,626.84, 12,937.49 and 2,782.08 is: 4,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.84 : 12,937.49 = 2,782.08 : x
  2. Step 2: Convert to fraction form
    8,626.84/12,937.49 = 2,782.08/x
  3. Step 3: Cross multiply
    8,626.84x = 12,937.49 × 2,782.08
  4. Step 4: Simplify right side
    8,626.84x = 35,993,132.18
  5. Step 5: Solve for x
    x = 35,993,132.18/8,626.84
  6. Step 6: Final answer
    x = 4,172.23

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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.