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Finding the Fourth Proportional to 6,852.87, 10,273.14 and 2,407.34

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Solution

The fourth proportional to 6,852.87, 10,273.14 and 2,407.34 is: 3,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.87 : 10,273.14 = 2,407.34 : x
  2. Step 2: Convert to fraction form
    6,852.87/10,273.14 = 2,407.34/x
  3. Step 3: Cross multiply
    6,852.87x = 10,273.14 × 2,407.34
  4. Step 4: Simplify right side
    6,852.87x = 24,730,889.48
  5. Step 5: Solve for x
    x = 24,730,889.48/6,852.87
  6. Step 6: Final answer
    x = 3,608.84

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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.