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Finding the Fourth Proportional to 7,853.34, 10,833.26 and 4,976.80

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Solution

The fourth proportional to 7,853.34, 10,833.26 and 4,976.80 is: 6,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.34 : 10,833.26 = 4,976.80 : x
  2. Step 2: Convert to fraction form
    7,853.34/10,833.26 = 4,976.80/x
  3. Step 3: Cross multiply
    7,853.34x = 10,833.26 × 4,976.80
  4. Step 4: Simplify right side
    7,853.34x = 53,914,968.37
  5. Step 5: Solve for x
    x = 53,914,968.37/7,853.34
  6. Step 6: Final answer
    x = 6,865.23

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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.