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Finding the Fourth Proportional to 11,222, 16,840.20 and 5,066

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Solution

The fourth proportional to 11,222, 16,840.20 and 5,066 is: 7,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222 : 16,840.20 = 5,066 : x
  2. Step 2: Convert to fraction form
    11,222/16,840.20 = 5,066/x
  3. Step 3: Cross multiply
    11,222x = 16,840.20 × 5,066
  4. Step 4: Simplify right side
    11,222x = 85,312,453.20
  5. Step 5: Solve for x
    x = 85,312,453.20/11,222
  6. Step 6: Final answer
    x = 7,602.25

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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.