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Finding the Fourth Proportional to 6,710.33, 10,055.77 and 3,782.41

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Solution

The fourth proportional to 6,710.33, 10,055.77 and 3,782.41 is: 5,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.33 : 10,055.77 = 3,782.41 : x
  2. Step 2: Convert to fraction form
    6,710.33/10,055.77 = 3,782.41/x
  3. Step 3: Cross multiply
    6,710.33x = 10,055.77 × 3,782.41
  4. Step 4: Simplify right side
    6,710.33x = 38,035,045.01
  5. Step 5: Solve for x
    x = 38,035,045.01/6,710.33
  6. Step 6: Final answer
    x = 5,668.13

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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.