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Finding the Fourth Proportional to 6,783.42, 10,169.04 and 4,311.30

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Solution

The fourth proportional to 6,783.42, 10,169.04 and 4,311.30 is: 6,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.42 : 10,169.04 = 4,311.30 : x
  2. Step 2: Convert to fraction form
    6,783.42/10,169.04 = 4,311.30/x
  3. Step 3: Cross multiply
    6,783.42x = 10,169.04 × 4,311.30
  4. Step 4: Simplify right side
    6,783.42x = 43,841,782.15
  5. Step 5: Solve for x
    x = 43,841,782.15/6,783.42
  6. Step 6: Final answer
    x = 6,463.08

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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.