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Finding the Fourth Proportional to 11,690.56, 16,138.79 and 7,216.78

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Solution

The fourth proportional to 11,690.56, 16,138.79 and 7,216.78 is: 9,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.56 : 16,138.79 = 7,216.78 : x
  2. Step 2: Convert to fraction form
    11,690.56/16,138.79 = 7,216.78/x
  3. Step 3: Cross multiply
    11,690.56x = 16,138.79 × 7,216.78
  4. Step 4: Simplify right side
    11,690.56x = 116,470,118.38
  5. Step 5: Solve for x
    x = 116,470,118.38/11,690.56
  6. Step 6: Final answer
    x = 9,962.75

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Why These Related Problems?

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