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Finding the Fourth Proportional to 7,796.02, 11,699.63 and 3,113.34

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Solution

The fourth proportional to 7,796.02, 11,699.63 and 3,113.34 is: 4,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.02 : 11,699.63 = 3,113.34 : x
  2. Step 2: Convert to fraction form
    7,796.02/11,699.63 = 3,113.34/x
  3. Step 3: Cross multiply
    7,796.02x = 11,699.63 × 3,113.34
  4. Step 4: Simplify right side
    7,796.02x = 36,424,910.50
  5. Step 5: Solve for x
    x = 36,424,910.50/7,796.02
  6. Step 6: Final answer
    x = 4,672.25

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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.