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Finding the Fourth Proportional to 10,777.86, 14,872.59 and 6,062.94

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Solution

The fourth proportional to 10,777.86, 14,872.59 and 6,062.94 is: 8,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.86 : 14,872.59 = 6,062.94 : x
  2. Step 2: Convert to fraction form
    10,777.86/14,872.59 = 6,062.94/x
  3. Step 3: Cross multiply
    10,777.86x = 14,872.59 × 6,062.94
  4. Step 4: Simplify right side
    10,777.86x = 90,171,620.81
  5. Step 5: Solve for x
    x = 90,171,620.81/10,777.86
  6. Step 6: Final answer
    x = 8,366.38

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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.