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Finding the Fourth Proportional to 11,502.22, 15,872.97 and 6,466.46

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Solution

The fourth proportional to 11,502.22, 15,872.97 and 6,466.46 is: 8,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.22 : 15,872.97 = 6,466.46 : x
  2. Step 2: Convert to fraction form
    11,502.22/15,872.97 = 6,466.46/x
  3. Step 3: Cross multiply
    11,502.22x = 15,872.97 × 6,466.46
  4. Step 4: Simplify right side
    11,502.22x = 102,641,999.07
  5. Step 5: Solve for x
    x = 102,641,999.07/11,502.22
  6. Step 6: Final answer
    x = 8,923.67

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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.