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Finding the Fourth Proportional to 11,502.35, 15,872.53 and 6,466.51

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Solution

The fourth proportional to 11,502.35, 15,872.53 and 6,466.51 is: 8,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.35 : 15,872.53 = 6,466.51 : x
  2. Step 2: Convert to fraction form
    11,502.35/15,872.53 = 6,466.51/x
  3. Step 3: Cross multiply
    11,502.35x = 15,872.53 × 6,466.51
  4. Step 4: Simplify right side
    11,502.35x = 102,639,863.31
  5. Step 5: Solve for x
    x = 102,639,863.31/11,502.35
  6. Step 6: Final answer
    x = 8,923.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.