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Finding the Fourth Proportional to 28,635, 42,952.50 and 7,858.50

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Solution

The fourth proportional to 28,635, 42,952.50 and 7,858.50 is: 11,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,635 : 42,952.50 = 7,858.50 : x
  2. Step 2: Convert to fraction form
    28,635/42,952.50 = 7,858.50/x
  3. Step 3: Cross multiply
    28,635x = 42,952.50 × 7,858.50
  4. Step 4: Simplify right side
    28,635x = 337,542,221.25
  5. Step 5: Solve for x
    x = 337,542,221.25/28,635
  6. Step 6: Final answer
    x = 11,787.75

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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.