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Finding the Fourth Proportional to 7,674.36, 11,494.83 and 4,703.82

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Solution

The fourth proportional to 7,674.36, 11,494.83 and 4,703.82 is: 7,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.36 : 11,494.83 = 4,703.82 : x
  2. Step 2: Convert to fraction form
    7,674.36/11,494.83 = 4,703.82/x
  3. Step 3: Cross multiply
    7,674.36x = 11,494.83 × 4,703.82
  4. Step 4: Simplify right side
    7,674.36x = 54,069,611.25
  5. Step 5: Solve for x
    x = 54,069,611.25/7,674.36
  6. Step 6: Final answer
    x = 7,045.49

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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.