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Finding the Fourth Proportional to 7,277.09, 10,912.80 and 3,119.09

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Solution

The fourth proportional to 7,277.09, 10,912.80 and 3,119.09 is: 4,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.09 : 10,912.80 = 3,119.09 : x
  2. Step 2: Convert to fraction form
    7,277.09/10,912.80 = 3,119.09/x
  3. Step 3: Cross multiply
    7,277.09x = 10,912.80 × 3,119.09
  4. Step 4: Simplify right side
    7,277.09x = 34,038,005.35
  5. Step 5: Solve for x
    x = 34,038,005.35/7,277.09
  6. Step 6: Final answer
    x = 4,677.42

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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.