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Finding the Fourth Proportional to 7,205.79, 10,809.65 and 3,507.54

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Solution

The fourth proportional to 7,205.79, 10,809.65 and 3,507.54 is: 5,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.79 : 10,809.65 = 3,507.54 : x
  2. Step 2: Convert to fraction form
    7,205.79/10,809.65 = 3,507.54/x
  3. Step 3: Cross multiply
    7,205.79x = 10,809.65 × 3,507.54
  4. Step 4: Simplify right side
    7,205.79x = 37,915,247.99
  5. Step 5: Solve for x
    x = 37,915,247.99/7,205.79
  6. Step 6: Final answer
    x = 5,261.77

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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.