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Finding the Fourth Proportional to 7,754.14, 11,636.48 and 4,243.87

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Solution

The fourth proportional to 7,754.14, 11,636.48 and 4,243.87 is: 6,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.14 : 11,636.48 = 4,243.87 : x
  2. Step 2: Convert to fraction form
    7,754.14/11,636.48 = 4,243.87/x
  3. Step 3: Cross multiply
    7,754.14x = 11,636.48 × 4,243.87
  4. Step 4: Simplify right side
    7,754.14x = 49,383,708.38
  5. Step 5: Solve for x
    x = 49,383,708.38/7,754.14
  6. Step 6: Final answer
    x = 6,368.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.