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Finding the Fourth Proportional to 10,650.93, 14,698.34 and 6,177.34

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Solution

The fourth proportional to 10,650.93, 14,698.34 and 6,177.34 is: 8,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.93 : 14,698.34 = 6,177.34 : x
  2. Step 2: Convert to fraction form
    10,650.93/14,698.34 = 6,177.34/x
  3. Step 3: Cross multiply
    10,650.93x = 14,698.34 × 6,177.34
  4. Step 4: Simplify right side
    10,650.93x = 90,796,606.34
  5. Step 5: Solve for x
    x = 90,796,606.34/10,650.93
  6. Step 6: Final answer
    x = 8,524.76

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