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Finding the Fourth Proportional to 11,658.72, 16,085.09 and 7,119.75

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Solution

The fourth proportional to 11,658.72, 16,085.09 and 7,119.75 is: 9,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.72 : 16,085.09 = 7,119.75 : x
  2. Step 2: Convert to fraction form
    11,658.72/16,085.09 = 7,119.75/x
  3. Step 3: Cross multiply
    11,658.72x = 16,085.09 × 7,119.75
  4. Step 4: Simplify right side
    11,658.72x = 114,521,819.53
  5. Step 5: Solve for x
    x = 114,521,819.53/11,658.72
  6. Step 6: Final answer
    x = 9,822.85

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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.