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Finding the Fourth Proportional to 8,734.45, 13,076.42 and 7,833.08

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Solution

The fourth proportional to 8,734.45, 13,076.42 and 7,833.08 is: 11,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.45 : 13,076.42 = 7,833.08 : x
  2. Step 2: Convert to fraction form
    8,734.45/13,076.42 = 7,833.08/x
  3. Step 3: Cross multiply
    8,734.45x = 13,076.42 × 7,833.08
  4. Step 4: Simplify right side
    8,734.45x = 102,428,643.97
  5. Step 5: Solve for x
    x = 102,428,643.97/8,734.45
  6. Step 6: Final answer
    x = 11,726.97

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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.