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Finding the Fourth Proportional to 7,205.34, 10,804.94 and 2,822.10

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Solution

The fourth proportional to 7,205.34, 10,804.94 and 2,822.10 is: 4,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.34 : 10,804.94 = 2,822.10 : x
  2. Step 2: Convert to fraction form
    7,205.34/10,804.94 = 2,822.10/x
  3. Step 3: Cross multiply
    7,205.34x = 10,804.94 × 2,822.10
  4. Step 4: Simplify right side
    7,205.34x = 30,492,621.17
  5. Step 5: Solve for x
    x = 30,492,621.17/7,205.34
  6. Step 6: Final answer
    x = 4,231.95

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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.