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Finding the Fourth Proportional to 7,852.53, 11,775.78 and 3,170.91

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Solution

The fourth proportional to 7,852.53, 11,775.78 and 3,170.91 is: 4,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.53 : 11,775.78 = 3,170.91 : x
  2. Step 2: Convert to fraction form
    7,852.53/11,775.78 = 3,170.91/x
  3. Step 3: Cross multiply
    7,852.53x = 11,775.78 × 3,170.91
  4. Step 4: Simplify right side
    7,852.53x = 37,339,938.56
  5. Step 5: Solve for x
    x = 37,339,938.56/7,852.53
  6. Step 6: Final answer
    x = 4,755.15

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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.