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Finding the Fourth Proportional to 12,004.52, 17,969.81 and 7,083.77

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Solution

The fourth proportional to 12,004.52, 17,969.81 and 7,083.77 is: 10,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.52 : 17,969.81 = 7,083.77 : x
  2. Step 2: Convert to fraction form
    12,004.52/17,969.81 = 7,083.77/x
  3. Step 3: Cross multiply
    12,004.52x = 17,969.81 × 7,083.77
  4. Step 4: Simplify right side
    12,004.52x = 127,293,875.72
  5. Step 5: Solve for x
    x = 127,293,875.72/12,004.52
  6. Step 6: Final answer
    x = 10,603.83

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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.