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Finding the Fourth Proportional to 12,682.12, 17,509.90 and 7,903.96

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Solution

The fourth proportional to 12,682.12, 17,509.90 and 7,903.96 is: 10,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.12 : 17,509.90 = 7,903.96 : x
  2. Step 2: Convert to fraction form
    12,682.12/17,509.90 = 7,903.96/x
  3. Step 3: Cross multiply
    12,682.12x = 17,509.90 × 7,903.96
  4. Step 4: Simplify right side
    12,682.12x = 138,397,549.20
  5. Step 5: Solve for x
    x = 138,397,549.20/12,682.12
  6. Step 6: Final answer
    x = 10,912.81

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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.