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Finding the Fourth Proportional to 7,205.84, 10,808.76 and 3,313.52

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Solution

The fourth proportional to 7,205.84, 10,808.76 and 3,313.52 is: 4,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.84 : 10,808.76 = 3,313.52 : x
  2. Step 2: Convert to fraction form
    7,205.84/10,808.76 = 3,313.52/x
  3. Step 3: Cross multiply
    7,205.84x = 10,808.76 × 3,313.52
  4. Step 4: Simplify right side
    7,205.84x = 35,815,042.44
  5. Step 5: Solve for x
    x = 35,815,042.44/7,205.84
  6. Step 6: Final answer
    x = 4,970.28

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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.