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Finding the Fourth Proportional to 11,021.64, 16,608.23 and 9,116.52

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Solution

The fourth proportional to 11,021.64, 16,608.23 and 9,116.52 is: 13,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.64 : 16,608.23 = 9,116.52 : x
  2. Step 2: Convert to fraction form
    11,021.64/16,608.23 = 9,116.52/x
  3. Step 3: Cross multiply
    11,021.64x = 16,608.23 × 9,116.52
  4. Step 4: Simplify right side
    11,021.64x = 151,409,260.96
  5. Step 5: Solve for x
    x = 151,409,260.96/11,021.64
  6. Step 6: Final answer
    x = 13,737.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.