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Finding the Fourth Proportional to 7,778.04, 11,669 and 3,395.76

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Solution

The fourth proportional to 7,778.04, 11,669 and 3,395.76 is: 5,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.04 : 11,669 = 3,395.76 : x
  2. Step 2: Convert to fraction form
    7,778.04/11,669 = 3,395.76/x
  3. Step 3: Cross multiply
    7,778.04x = 11,669 × 3,395.76
  4. Step 4: Simplify right side
    7,778.04x = 39,625,123.44
  5. Step 5: Solve for x
    x = 39,625,123.44/7,778.04
  6. Step 6: Final answer
    x = 5,094.49

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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.