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Finding the Fourth Proportional to 11,164.32, 15,407.04 and 6,450.24

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Solution

The fourth proportional to 11,164.32, 15,407.04 and 6,450.24 is: 8,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.32 : 15,407.04 = 6,450.24 : x
  2. Step 2: Convert to fraction form
    11,164.32/15,407.04 = 6,450.24/x
  3. Step 3: Cross multiply
    11,164.32x = 15,407.04 × 6,450.24
  4. Step 4: Simplify right side
    11,164.32x = 99,379,105.69
  5. Step 5: Solve for x
    x = 99,379,105.69/11,164.32
  6. Step 6: Final answer
    x = 8,901.49

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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.