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Finding the Fourth Proportional to 11,177.71, 16,768.74 and 3,783.39

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Solution

The fourth proportional to 11,177.71, 16,768.74 and 3,783.39 is: 5,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.71 : 16,768.74 = 3,783.39 : x
  2. Step 2: Convert to fraction form
    11,177.71/16,768.74 = 3,783.39/x
  3. Step 3: Cross multiply
    11,177.71x = 16,768.74 × 3,783.39
  4. Step 4: Simplify right side
    11,177.71x = 63,442,683.23
  5. Step 5: Solve for x
    x = 63,442,683.23/11,177.71
  6. Step 6: Final answer
    x = 5,675.82

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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.