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Finding the Fourth Proportional to 8,513.51, 12,759.45 and 3,828.52

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Solution

The fourth proportional to 8,513.51, 12,759.45 and 3,828.52 is: 5,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.51 : 12,759.45 = 3,828.52 : x
  2. Step 2: Convert to fraction form
    8,513.51/12,759.45 = 3,828.52/x
  3. Step 3: Cross multiply
    8,513.51x = 12,759.45 × 3,828.52
  4. Step 4: Simplify right side
    8,513.51x = 48,849,745.72
  5. Step 5: Solve for x
    x = 48,849,745.72/8,513.51
  6. Step 6: Final answer
    x = 5,737.91

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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.