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Finding the Fourth Proportional to 8,537.70, 12,804.56 and 3,270.85

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Solution

The fourth proportional to 8,537.70, 12,804.56 and 3,270.85 is: 4,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.70 : 12,804.56 = 3,270.85 : x
  2. Step 2: Convert to fraction form
    8,537.70/12,804.56 = 3,270.85/x
  3. Step 3: Cross multiply
    8,537.70x = 12,804.56 × 3,270.85
  4. Step 4: Simplify right side
    8,537.70x = 41,881,795.08
  5. Step 5: Solve for x
    x = 41,881,795.08/8,537.70
  6. Step 6: Final answer
    x = 4,905.51

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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.