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Finding the Fourth Proportional to 10,682.32, 16,026.72 and 7,568.35

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Solution

The fourth proportional to 10,682.32, 16,026.72 and 7,568.35 is: 11,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.32 : 16,026.72 = 7,568.35 : x
  2. Step 2: Convert to fraction form
    10,682.32/16,026.72 = 7,568.35/x
  3. Step 3: Cross multiply
    10,682.32x = 16,026.72 × 7,568.35
  4. Step 4: Simplify right side
    10,682.32x = 121,295,833.62
  5. Step 5: Solve for x
    x = 121,295,833.62/10,682.32
  6. Step 6: Final answer
    x = 11,354.82

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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.