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Finding the Fourth Proportional to 8,249.94, 12,374.76 and 2,010

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Solution

The fourth proportional to 8,249.94, 12,374.76 and 2,010 is: 3,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.94 : 12,374.76 = 2,010 : x
  2. Step 2: Convert to fraction form
    8,249.94/12,374.76 = 2,010/x
  3. Step 3: Cross multiply
    8,249.94x = 12,374.76 × 2,010
  4. Step 4: Simplify right side
    8,249.94x = 24,873,267.60
  5. Step 5: Solve for x
    x = 24,873,267.60/8,249.94
  6. Step 6: Final answer
    x = 3,014.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.