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Finding the Fourth Proportional to 7,914.41, 10,921.87 and 4,556

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Solution

The fourth proportional to 7,914.41, 10,921.87 and 4,556 is: 6,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.41 : 10,921.87 = 4,556 : x
  2. Step 2: Convert to fraction form
    7,914.41/10,921.87 = 4,556/x
  3. Step 3: Cross multiply
    7,914.41x = 10,921.87 × 4,556
  4. Step 4: Simplify right side
    7,914.41x = 49,760,016.94
  5. Step 5: Solve for x
    x = 49,760,016.94/7,914.41
  6. Step 6: Final answer
    x = 6,287.27

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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.