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Finding the Fourth Proportional to 7,205.15, 10,803.06 and 2,823.05

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Solution

The fourth proportional to 7,205.15, 10,803.06 and 2,823.05 is: 4,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.15 : 10,803.06 = 2,823.05 : x
  2. Step 2: Convert to fraction form
    7,205.15/10,803.06 = 2,823.05/x
  3. Step 3: Cross multiply
    7,205.15x = 10,803.06 × 2,823.05
  4. Step 4: Simplify right side
    7,205.15x = 30,497,524.52
  5. Step 5: Solve for x
    x = 30,497,524.52/7,205.15
  6. Step 6: Final answer
    x = 4,232.74

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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.