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Finding the Fourth Proportional to 6,803.06, 10,206.23 and 2,852.15

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Solution

The fourth proportional to 6,803.06, 10,206.23 and 2,852.15 is: 4,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.06 : 10,206.23 = 2,852.15 : x
  2. Step 2: Convert to fraction form
    6,803.06/10,206.23 = 2,852.15/x
  3. Step 3: Cross multiply
    6,803.06x = 10,206.23 × 2,852.15
  4. Step 4: Simplify right side
    6,803.06x = 29,109,698.89
  5. Step 5: Solve for x
    x = 29,109,698.89/6,803.06
  6. Step 6: Final answer
    x = 4,278.91

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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.