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Finding the Fourth Proportional to 10,783.20, 16,181.07 and 4,542.81

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Solution

The fourth proportional to 10,783.20, 16,181.07 and 4,542.81 is: 6,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.20 : 16,181.07 = 4,542.81 : x
  2. Step 2: Convert to fraction form
    10,783.20/16,181.07 = 4,542.81/x
  3. Step 3: Cross multiply
    10,783.20x = 16,181.07 × 4,542.81
  4. Step 4: Simplify right side
    10,783.20x = 73,507,494.40
  5. Step 5: Solve for x
    x = 73,507,494.40/10,783.20
  6. Step 6: Final answer
    x = 6,816.85

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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.