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Finding the Fourth Proportional to 7,750.86, 11,626.76 and 2,556.74

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Solution

The fourth proportional to 7,750.86, 11,626.76 and 2,556.74 is: 3,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.86 : 11,626.76 = 2,556.74 : x
  2. Step 2: Convert to fraction form
    7,750.86/11,626.76 = 2,556.74/x
  3. Step 3: Cross multiply
    7,750.86x = 11,626.76 × 2,556.74
  4. Step 4: Simplify right side
    7,750.86x = 29,726,602.36
  5. Step 5: Solve for x
    x = 29,726,602.36/7,750.86
  6. Step 6: Final answer
    x = 3,835.27

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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.