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Finding the Fourth Proportional to 8,140.94, 12,212.30 and 2,592.98

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Solution

The fourth proportional to 8,140.94, 12,212.30 and 2,592.98 is: 3,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.94 : 12,212.30 = 2,592.98 : x
  2. Step 2: Convert to fraction form
    8,140.94/12,212.30 = 2,592.98/x
  3. Step 3: Cross multiply
    8,140.94x = 12,212.30 × 2,592.98
  4. Step 4: Simplify right side
    8,140.94x = 31,666,249.65
  5. Step 5: Solve for x
    x = 31,666,249.65/8,140.94
  6. Step 6: Final answer
    x = 3,889.75

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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.