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Finding the Fourth Proportional to 8,144.72, 12,212.52 and 2,597.06

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Solution

The fourth proportional to 8,144.72, 12,212.52 and 2,597.06 is: 3,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.72 : 12,212.52 = 2,597.06 : x
  2. Step 2: Convert to fraction form
    8,144.72/12,212.52 = 2,597.06/x
  3. Step 3: Cross multiply
    8,144.72x = 12,212.52 × 2,597.06
  4. Step 4: Simplify right side
    8,144.72x = 31,716,647.19
  5. Step 5: Solve for x
    x = 31,716,647.19/8,144.72
  6. Step 6: Final answer
    x = 3,894.14

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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.