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Finding the Fourth Proportional to 10,682.13, 14,745.39 and 8,037.23

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Solution

The fourth proportional to 10,682.13, 14,745.39 and 8,037.23 is: 11,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.13 : 14,745.39 = 8,037.23 : x
  2. Step 2: Convert to fraction form
    10,682.13/14,745.39 = 8,037.23/x
  3. Step 3: Cross multiply
    10,682.13x = 14,745.39 × 8,037.23
  4. Step 4: Simplify right side
    10,682.13x = 118,512,032.21
  5. Step 5: Solve for x
    x = 118,512,032.21/10,682.13
  6. Step 6: Final answer
    x = 11,094.42

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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.