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Finding the Fourth Proportional to 12,783.51, 19,171.71 and 5,383.62

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Solution

The fourth proportional to 12,783.51, 19,171.71 and 5,383.62 is: 8,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.51 : 19,171.71 = 5,383.62 : x
  2. Step 2: Convert to fraction form
    12,783.51/19,171.71 = 5,383.62/x
  3. Step 3: Cross multiply
    12,783.51x = 19,171.71 × 5,383.62
  4. Step 4: Simplify right side
    12,783.51x = 103,213,201.39
  5. Step 5: Solve for x
    x = 103,213,201.39/12,783.51
  6. Step 6: Final answer
    x = 8,073.93

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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.