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Finding the Fourth Proportional to 12,254.86, 16,908.75 and 7,777

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Solution

The fourth proportional to 12,254.86, 16,908.75 and 7,777 is: 10,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.86 : 16,908.75 = 7,777 : x
  2. Step 2: Convert to fraction form
    12,254.86/16,908.75 = 7,777/x
  3. Step 3: Cross multiply
    12,254.86x = 16,908.75 × 7,777
  4. Step 4: Simplify right side
    12,254.86x = 131,499,348.75
  5. Step 5: Solve for x
    x = 131,499,348.75/12,254.86
  6. Step 6: Final answer
    x = 10,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.