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Finding the Fourth Proportional to 10,745.56, 14,828.42 and 6,029.80

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Solution

The fourth proportional to 10,745.56, 14,828.42 and 6,029.80 is: 8,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.56 : 14,828.42 = 6,029.80 : x
  2. Step 2: Convert to fraction form
    10,745.56/14,828.42 = 6,029.80/x
  3. Step 3: Cross multiply
    10,745.56x = 14,828.42 × 6,029.80
  4. Step 4: Simplify right side
    10,745.56x = 89,412,406.92
  5. Step 5: Solve for x
    x = 89,412,406.92/10,745.56
  6. Step 6: Final answer
    x = 8,320.87

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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.