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Finding the Fourth Proportional to 8,734.90, 12,055.17 and 5,198.08

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Solution

The fourth proportional to 8,734.90, 12,055.17 and 5,198.08 is: 7,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.90 : 12,055.17 = 5,198.08 : x
  2. Step 2: Convert to fraction form
    8,734.90/12,055.17 = 5,198.08/x
  3. Step 3: Cross multiply
    8,734.90x = 12,055.17 × 5,198.08
  4. Step 4: Simplify right side
    8,734.90x = 62,663,738.07
  5. Step 5: Solve for x
    x = 62,663,738.07/8,734.90
  6. Step 6: Final answer
    x = 7,173.95

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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.