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Finding the Fourth Proportional to 7,446.53, 11,169.80 and 3,064.33

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Solution

The fourth proportional to 7,446.53, 11,169.80 and 3,064.33 is: 4,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.53 : 11,169.80 = 3,064.33 : x
  2. Step 2: Convert to fraction form
    7,446.53/11,169.80 = 3,064.33/x
  3. Step 3: Cross multiply
    7,446.53x = 11,169.80 × 3,064.33
  4. Step 4: Simplify right side
    7,446.53x = 34,227,963.37
  5. Step 5: Solve for x
    x = 34,227,963.37/7,446.53
  6. Step 6: Final answer
    x = 4,596.50

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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.