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Finding the Fourth Proportional to 7,644.41, 11,462.14 and 2,377.99

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Solution

The fourth proportional to 7,644.41, 11,462.14 and 2,377.99 is: 3,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.41 : 11,462.14 = 2,377.99 : x
  2. Step 2: Convert to fraction form
    7,644.41/11,462.14 = 2,377.99/x
  3. Step 3: Cross multiply
    7,644.41x = 11,462.14 × 2,377.99
  4. Step 4: Simplify right side
    7,644.41x = 27,256,871.60
  5. Step 5: Solve for x
    x = 27,256,871.60/7,644.41
  6. Step 6: Final answer
    x = 3,565.60

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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.