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Finding the Fourth Proportional to 12,083.34, 16,658.55 and 7,826.79

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Solution

The fourth proportional to 12,083.34, 16,658.55 and 7,826.79 is: 10,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.34 : 16,658.55 = 7,826.79 : x
  2. Step 2: Convert to fraction form
    12,083.34/16,658.55 = 7,826.79/x
  3. Step 3: Cross multiply
    12,083.34x = 16,658.55 × 7,826.79
  4. Step 4: Simplify right side
    12,083.34x = 130,382,972.55
  5. Step 5: Solve for x
    x = 130,382,972.55/12,083.34
  6. Step 6: Final answer
    x = 10,790.31

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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.