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Finding the Fourth Proportional to 28,644.59, 42,961.94 and 7,584.94

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Solution

The fourth proportional to 28,644.59, 42,961.94 and 7,584.94 is: 11,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644.59 : 42,961.94 = 7,584.94 : x
  2. Step 2: Convert to fraction form
    28,644.59/42,961.94 = 7,584.94/x
  3. Step 3: Cross multiply
    28,644.59x = 42,961.94 × 7,584.94
  4. Step 4: Simplify right side
    28,644.59x = 325,863,511.30
  5. Step 5: Solve for x
    x = 325,863,511.30/28,644.59
  6. Step 6: Final answer
    x = 11,376.09

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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.