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Finding the Fourth Proportional to 11,502.01, 15,872.16 and 6,466.42

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Solution

The fourth proportional to 11,502.01, 15,872.16 and 6,466.42 is: 8,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.01 : 15,872.16 = 6,466.42 : x
  2. Step 2: Convert to fraction form
    11,502.01/15,872.16 = 6,466.42/x
  3. Step 3: Cross multiply
    11,502.01x = 15,872.16 × 6,466.42
  4. Step 4: Simplify right side
    11,502.01x = 102,636,052.87
  5. Step 5: Solve for x
    x = 102,636,052.87/11,502.01
  6. Step 6: Final answer
    x = 8,923.31

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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.