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Finding the Fourth Proportional to 12,082.54, 16,658.47 and 7,826.08

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Solution

The fourth proportional to 12,082.54, 16,658.47 and 7,826.08 is: 10,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.54 : 16,658.47 = 7,826.08 : x
  2. Step 2: Convert to fraction form
    12,082.54/16,658.47 = 7,826.08/x
  3. Step 3: Cross multiply
    12,082.54x = 16,658.47 × 7,826.08
  4. Step 4: Simplify right side
    12,082.54x = 130,370,518.90
  5. Step 5: Solve for x
    x = 130,370,518.90/12,082.54
  6. Step 6: Final answer
    x = 10,789.99

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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.