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Finding the Fourth Proportional to 11,086.16, 16,606.44 and 7,376.45

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Solution

The fourth proportional to 11,086.16, 16,606.44 and 7,376.45 is: 11,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.16 : 16,606.44 = 7,376.45 : x
  2. Step 2: Convert to fraction form
    11,086.16/16,606.44 = 7,376.45/x
  3. Step 3: Cross multiply
    11,086.16x = 16,606.44 × 7,376.45
  4. Step 4: Simplify right side
    11,086.16x = 122,496,491.31
  5. Step 5: Solve for x
    x = 122,496,491.31/11,086.16
  6. Step 6: Final answer
    x = 11,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.