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Finding the Fourth Proportional to 11,381.50, 15,702.12 and 8,404.48

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Solution

The fourth proportional to 11,381.50, 15,702.12 and 8,404.48 is: 11,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.50 : 15,702.12 = 8,404.48 : x
  2. Step 2: Convert to fraction form
    11,381.50/15,702.12 = 8,404.48/x
  3. Step 3: Cross multiply
    11,381.50x = 15,702.12 × 8,404.48
  4. Step 4: Simplify right side
    11,381.50x = 131,968,153.50
  5. Step 5: Solve for x
    x = 131,968,153.50/11,381.50
  6. Step 6: Final answer
    x = 11,594.97

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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.