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Finding the Fourth Proportional to 10,944.76, 16,422.50 and 6,783.66

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Solution

The fourth proportional to 10,944.76, 16,422.50 and 6,783.66 is: 10,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.76 : 16,422.50 = 6,783.66 : x
  2. Step 2: Convert to fraction form
    10,944.76/16,422.50 = 6,783.66/x
  3. Step 3: Cross multiply
    10,944.76x = 16,422.50 × 6,783.66
  4. Step 4: Simplify right side
    10,944.76x = 111,404,656.35
  5. Step 5: Solve for x
    x = 111,404,656.35/10,944.76
  6. Step 6: Final answer
    x = 10,178.81

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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.