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Finding the Fourth Proportional to 10,745.88, 14,829.92 and 6,030.04

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Solution

The fourth proportional to 10,745.88, 14,829.92 and 6,030.04 is: 8,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.88 : 14,829.92 = 6,030.04 : x
  2. Step 2: Convert to fraction form
    10,745.88/14,829.92 = 6,030.04/x
  3. Step 3: Cross multiply
    10,745.88x = 14,829.92 × 6,030.04
  4. Step 4: Simplify right side
    10,745.88x = 89,425,010.80
  5. Step 5: Solve for x
    x = 89,425,010.80/10,745.88
  6. Step 6: Final answer
    x = 8,321.80

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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.