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Finding the Fourth Proportional to 7,795.46, 11,672.42 and 6,799.01

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Solution

The fourth proportional to 7,795.46, 11,672.42 and 6,799.01 is: 10,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.46 : 11,672.42 = 6,799.01 : x
  2. Step 2: Convert to fraction form
    7,795.46/11,672.42 = 6,799.01/x
  3. Step 3: Cross multiply
    7,795.46x = 11,672.42 × 6,799.01
  4. Step 4: Simplify right side
    7,795.46x = 79,360,807.95
  5. Step 5: Solve for x
    x = 79,360,807.95/7,795.46
  6. Step 6: Final answer
    x = 10,180.39

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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.