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Finding the Fourth Proportional to 7,795.04, 11,674.26 and 6,763.50

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Solution

The fourth proportional to 7,795.04, 11,674.26 and 6,763.50 is: 10,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.04 : 11,674.26 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    7,795.04/11,674.26 = 6,763.50/x
  3. Step 3: Cross multiply
    7,795.04x = 11,674.26 × 6,763.50
  4. Step 4: Simplify right side
    7,795.04x = 78,958,857.51
  5. Step 5: Solve for x
    x = 78,958,857.51/7,795.04
  6. Step 6: Final answer
    x = 10,129.38

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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.