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Finding the Fourth Proportional to 7,769.33, 11,646.99 and 2,835.50

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Solution

The fourth proportional to 7,769.33, 11,646.99 and 2,835.50 is: 4,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.33 : 11,646.99 = 2,835.50 : x
  2. Step 2: Convert to fraction form
    7,769.33/11,646.99 = 2,835.50/x
  3. Step 3: Cross multiply
    7,769.33x = 11,646.99 × 2,835.50
  4. Step 4: Simplify right side
    7,769.33x = 33,025,069.26
  5. Step 5: Solve for x
    x = 33,025,069.26/7,769.33
  6. Step 6: Final answer
    x = 4,250.70

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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.