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Finding the Fourth Proportional to 12,753, 19,137.60 and 5,827.68

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Solution

The fourth proportional to 12,753, 19,137.60 and 5,827.68 is: 8,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 19,137.60 = 5,827.68 : x
  2. Step 2: Convert to fraction form
    12,753/19,137.60 = 5,827.68/x
  3. Step 3: Cross multiply
    12,753x = 19,137.60 × 5,827.68
  4. Step 4: Simplify right side
    12,753x = 111,527,808.77
  5. Step 5: Solve for x
    x = 111,527,808.77/12,753
  6. Step 6: Final answer
    x = 8,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.