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Finding the Fourth Proportional to 7,207.80, 10,813.56 and 2,277.60

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Solution

The fourth proportional to 7,207.80, 10,813.56 and 2,277.60 is: 3,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.80 : 10,813.56 = 2,277.60 : x
  2. Step 2: Convert to fraction form
    7,207.80/10,813.56 = 2,277.60/x
  3. Step 3: Cross multiply
    7,207.80x = 10,813.56 × 2,277.60
  4. Step 4: Simplify right side
    7,207.80x = 24,628,964.26
  5. Step 5: Solve for x
    x = 24,628,964.26/7,207.80
  6. Step 6: Final answer
    x = 3,416.99

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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.