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Finding the Fourth Proportional to 11,144.49, 15,376.33 and 6,893.50

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Solution

The fourth proportional to 11,144.49, 15,376.33 and 6,893.50 is: 9,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.49 : 15,376.33 = 6,893.50 : x
  2. Step 2: Convert to fraction form
    11,144.49/15,376.33 = 6,893.50/x
  3. Step 3: Cross multiply
    11,144.49x = 15,376.33 × 6,893.50
  4. Step 4: Simplify right side
    11,144.49x = 105,996,730.86
  5. Step 5: Solve for x
    x = 105,996,730.86/11,144.49
  6. Step 6: Final answer
    x = 9,511.13

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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.