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Finding the Fourth Proportional to 7,803.50, 11,702.46 and 2,255.36

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Solution

The fourth proportional to 7,803.50, 11,702.46 and 2,255.36 is: 3,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.50 : 11,702.46 = 2,255.36 : x
  2. Step 2: Convert to fraction form
    7,803.50/11,702.46 = 2,255.36/x
  3. Step 3: Cross multiply
    7,803.50x = 11,702.46 × 2,255.36
  4. Step 4: Simplify right side
    7,803.50x = 26,393,260.19
  5. Step 5: Solve for x
    x = 26,393,260.19/7,803.50
  6. Step 6: Final answer
    x = 3,382.23

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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.