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Finding the Fourth Proportional to 11,144.94, 15,377.31 and 6,176.94

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Solution

The fourth proportional to 11,144.94, 15,377.31 and 6,176.94 is: 8,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.94 : 15,377.31 = 6,176.94 : x
  2. Step 2: Convert to fraction form
    11,144.94/15,377.31 = 6,176.94/x
  3. Step 3: Cross multiply
    11,144.94x = 15,377.31 × 6,176.94
  4. Step 4: Simplify right side
    11,144.94x = 94,984,721.23
  5. Step 5: Solve for x
    x = 94,984,721.23/11,144.94
  6. Step 6: Final answer
    x = 8,522.68

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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.