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Finding the Fourth Proportional to 28,722.52, 43,084.50 and 7,946.20

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Solution

The fourth proportional to 28,722.52, 43,084.50 and 7,946.20 is: 11,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,722.52 : 43,084.50 = 7,946.20 : x
  2. Step 2: Convert to fraction form
    28,722.52/43,084.50 = 7,946.20/x
  3. Step 3: Cross multiply
    28,722.52x = 43,084.50 × 7,946.20
  4. Step 4: Simplify right side
    28,722.52x = 342,358,053.90
  5. Step 5: Solve for x
    x = 342,358,053.90/28,722.52
  6. Step 6: Final answer
    x = 11,919.50

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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.