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Finding the Fourth Proportional to 6,941.54, 10,405.02 and 2,556.20

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Solution

The fourth proportional to 6,941.54, 10,405.02 and 2,556.20 is: 3,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.54 : 10,405.02 = 2,556.20 : x
  2. Step 2: Convert to fraction form
    6,941.54/10,405.02 = 2,556.20/x
  3. Step 3: Cross multiply
    6,941.54x = 10,405.02 × 2,556.20
  4. Step 4: Simplify right side
    6,941.54x = 26,597,312.12
  5. Step 5: Solve for x
    x = 26,597,312.12/6,941.54
  6. Step 6: Final answer
    x = 3,831.62

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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.