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Finding the Fourth Proportional to 7,743.41, 11,599.04 and 3,782.71

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Solution

The fourth proportional to 7,743.41, 11,599.04 and 3,782.71 is: 5,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.41 : 11,599.04 = 3,782.71 : x
  2. Step 2: Convert to fraction form
    7,743.41/11,599.04 = 3,782.71/x
  3. Step 3: Cross multiply
    7,743.41x = 11,599.04 × 3,782.71
  4. Step 4: Simplify right side
    7,743.41x = 43,875,785.06
  5. Step 5: Solve for x
    x = 43,875,785.06/7,743.41
  6. Step 6: Final answer
    x = 5,666.21

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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.