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Finding the Fourth Proportional to 10,029.83, 15,053.85 and 6,745.22

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Solution

The fourth proportional to 10,029.83, 15,053.85 and 6,745.22 is: 10,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.83 : 15,053.85 = 6,745.22 : x
  2. Step 2: Convert to fraction form
    10,029.83/15,053.85 = 6,745.22/x
  3. Step 3: Cross multiply
    10,029.83x = 15,053.85 × 6,745.22
  4. Step 4: Simplify right side
    10,029.83x = 101,541,595.96
  5. Step 5: Solve for x
    x = 101,541,595.96/10,029.83
  6. Step 6: Final answer
    x = 10,123.96

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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.