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Finding the Fourth Proportional to 7,756.88, 11,627 and 3,852.88

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Solution

The fourth proportional to 7,756.88, 11,627 and 3,852.88 is: 5,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.88 : 11,627 = 3,852.88 : x
  2. Step 2: Convert to fraction form
    7,756.88/11,627 = 3,852.88/x
  3. Step 3: Cross multiply
    7,756.88x = 11,627 × 3,852.88
  4. Step 4: Simplify right side
    7,756.88x = 44,797,435.76
  5. Step 5: Solve for x
    x = 44,797,435.76/7,756.88
  6. Step 6: Final answer
    x = 5,775.19

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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.