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Finding the Fourth Proportional to 8,144.16, 12,218.23 and 2,597.51

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Solution

The fourth proportional to 8,144.16, 12,218.23 and 2,597.51 is: 3,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.16 : 12,218.23 = 2,597.51 : x
  2. Step 2: Convert to fraction form
    8,144.16/12,218.23 = 2,597.51/x
  3. Step 3: Cross multiply
    8,144.16x = 12,218.23 × 2,597.51
  4. Step 4: Simplify right side
    8,144.16x = 31,736,907.02
  5. Step 5: Solve for x
    x = 31,736,907.02/8,144.16
  6. Step 6: Final answer
    x = 3,896.89

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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.