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Finding the Fourth Proportional to 7,644.66, 11,463.72 and 3,483.42

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Solution

The fourth proportional to 7,644.66, 11,463.72 and 3,483.42 is: 5,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.66 : 11,463.72 = 3,483.42 : x
  2. Step 2: Convert to fraction form
    7,644.66/11,463.72 = 3,483.42/x
  3. Step 3: Cross multiply
    7,644.66x = 11,463.72 × 3,483.42
  4. Step 4: Simplify right side
    7,644.66x = 39,932,951.52
  5. Step 5: Solve for x
    x = 39,932,951.52/7,644.66
  6. Step 6: Final answer
    x = 5,223.64

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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.