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Finding the Fourth Proportional to 12,083.40, 16,675.94 and 7,048.84

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Solution

The fourth proportional to 12,083.40, 16,675.94 and 7,048.84 is: 9,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.40 : 16,675.94 = 7,048.84 : x
  2. Step 2: Convert to fraction form
    12,083.40/16,675.94 = 7,048.84/x
  3. Step 3: Cross multiply
    12,083.40x = 16,675.94 × 7,048.84
  4. Step 4: Simplify right side
    12,083.40x = 117,546,032.91
  5. Step 5: Solve for x
    x = 117,546,032.91/12,083.40
  6. Step 6: Final answer
    x = 9,727.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.