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Finding the Fourth Proportional to 8,323.73, 11,482.88 and 5,134.36

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Solution

The fourth proportional to 8,323.73, 11,482.88 and 5,134.36 is: 7,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.73 : 11,482.88 = 5,134.36 : x
  2. Step 2: Convert to fraction form
    8,323.73/11,482.88 = 5,134.36/x
  3. Step 3: Cross multiply
    8,323.73x = 11,482.88 × 5,134.36
  4. Step 4: Simplify right side
    8,323.73x = 58,957,185.38
  5. Step 5: Solve for x
    x = 58,957,185.38/8,323.73
  6. Step 6: Final answer
    x = 7,083.02

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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.