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Finding the Fourth Proportional to 10,745.75, 14,829.14 and 6,029.93

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Solution

The fourth proportional to 10,745.75, 14,829.14 and 6,029.93 is: 8,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.75 : 14,829.14 = 6,029.93 : x
  2. Step 2: Convert to fraction form
    10,745.75/14,829.14 = 6,029.93/x
  3. Step 3: Cross multiply
    10,745.75x = 14,829.14 × 6,029.93
  4. Step 4: Simplify right side
    10,745.75x = 89,418,676.16
  5. Step 5: Solve for x
    x = 89,418,676.16/10,745.75
  6. Step 6: Final answer
    x = 8,321.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.