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Finding the Fourth Proportional to 7,047.33, 10,570.71 and 1,782.27

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Solution

The fourth proportional to 7,047.33, 10,570.71 and 1,782.27 is: 2,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.33 : 10,570.71 = 1,782.27 : x
  2. Step 2: Convert to fraction form
    7,047.33/10,570.71 = 1,782.27/x
  3. Step 3: Cross multiply
    7,047.33x = 10,570.71 × 1,782.27
  4. Step 4: Simplify right side
    7,047.33x = 18,839,859.31
  5. Step 5: Solve for x
    x = 18,839,859.31/7,047.33
  6. Step 6: Final answer
    x = 2,673.33

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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.