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Finding the Fourth Proportional to 10,745.48, 14,828.73 and 6,029.75

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Solution

The fourth proportional to 10,745.48, 14,828.73 and 6,029.75 is: 8,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.48 : 14,828.73 = 6,029.75 : x
  2. Step 2: Convert to fraction form
    10,745.48/14,828.73 = 6,029.75/x
  3. Step 3: Cross multiply
    10,745.48x = 14,828.73 × 6,029.75
  4. Step 4: Simplify right side
    10,745.48x = 89,413,549.18
  5. Step 5: Solve for x
    x = 89,413,549.18/10,745.48
  6. Step 6: Final answer
    x = 8,321.04

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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.