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Finding the Fourth Proportional to 7,803.06, 11,702.86 and 2,255.20

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Solution

The fourth proportional to 7,803.06, 11,702.86 and 2,255.20 is: 3,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.06 : 11,702.86 = 2,255.20 : x
  2. Step 2: Convert to fraction form
    7,803.06/11,702.86 = 2,255.20/x
  3. Step 3: Cross multiply
    7,803.06x = 11,702.86 × 2,255.20
  4. Step 4: Simplify right side
    7,803.06x = 26,392,289.87
  5. Step 5: Solve for x
    x = 26,392,289.87/7,803.06
  6. Step 6: Final answer
    x = 3,382.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.