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Finding the Fourth Proportional to 11,783.66, 17,671.23 and 3,461.45

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Solution

The fourth proportional to 11,783.66, 17,671.23 and 3,461.45 is: 5,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.66 : 17,671.23 = 3,461.45 : x
  2. Step 2: Convert to fraction form
    11,783.66/17,671.23 = 3,461.45/x
  3. Step 3: Cross multiply
    11,783.66x = 17,671.23 × 3,461.45
  4. Step 4: Simplify right side
    11,783.66x = 61,167,990.73
  5. Step 5: Solve for x
    x = 61,167,990.73/11,783.66
  6. Step 6: Final answer
    x = 5,190.92

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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.