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Finding the Fourth Proportional to 28,611.50, 42,920.22 and 7,835

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Solution

The fourth proportional to 28,611.50, 42,920.22 and 7,835 is: 11,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,611.50 : 42,920.22 = 7,835 : x
  2. Step 2: Convert to fraction form
    28,611.50/42,920.22 = 7,835/x
  3. Step 3: Cross multiply
    28,611.50x = 42,920.22 × 7,835
  4. Step 4: Simplify right side
    28,611.50x = 336,279,923.70
  5. Step 5: Solve for x
    x = 336,279,923.70/28,611.50
  6. Step 6: Final answer
    x = 11,753.31

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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.