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Finding the Fourth Proportional to 8,735.06, 13,077.99 and 7,849.33

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Solution

The fourth proportional to 8,735.06, 13,077.99 and 7,849.33 is: 11,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.06 : 13,077.99 = 7,849.33 : x
  2. Step 2: Convert to fraction form
    8,735.06/13,077.99 = 7,849.33/x
  3. Step 3: Cross multiply
    8,735.06x = 13,077.99 × 7,849.33
  4. Step 4: Simplify right side
    8,735.06x = 102,653,362.78
  5. Step 5: Solve for x
    x = 102,653,362.78/8,735.06
  6. Step 6: Final answer
    x = 11,751.88

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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.