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Finding the Fourth Proportional to 11,414.94, 15,751.14 and 6,697.50

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Solution

The fourth proportional to 11,414.94, 15,751.14 and 6,697.50 is: 9,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.94 : 15,751.14 = 6,697.50 : x
  2. Step 2: Convert to fraction form
    11,414.94/15,751.14 = 6,697.50/x
  3. Step 3: Cross multiply
    11,414.94x = 15,751.14 × 6,697.50
  4. Step 4: Simplify right side
    11,414.94x = 105,493,260.15
  5. Step 5: Solve for x
    x = 105,493,260.15/11,414.94
  6. Step 6: Final answer
    x = 9,241.68

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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.