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Finding the Fourth Proportional to 11,500.98, 15,872.67 and 6,397.01

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Solution

The fourth proportional to 11,500.98, 15,872.67 and 6,397.01 is: 8,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.98 : 15,872.67 = 6,397.01 : x
  2. Step 2: Convert to fraction form
    11,500.98/15,872.67 = 6,397.01/x
  3. Step 3: Cross multiply
    11,500.98x = 15,872.67 × 6,397.01
  4. Step 4: Simplify right side
    11,500.98x = 101,537,608.88
  5. Step 5: Solve for x
    x = 101,537,608.88/11,500.98
  6. Step 6: Final answer
    x = 8,828.61

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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.