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Finding the Fourth Proportional to 7,868.63, 11,804.76 and 2,674.50

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Solution

The fourth proportional to 7,868.63, 11,804.76 and 2,674.50 is: 4,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.63 : 11,804.76 = 2,674.50 : x
  2. Step 2: Convert to fraction form
    7,868.63/11,804.76 = 2,674.50/x
  3. Step 3: Cross multiply
    7,868.63x = 11,804.76 × 2,674.50
  4. Step 4: Simplify right side
    7,868.63x = 31,571,830.62
  5. Step 5: Solve for x
    x = 31,571,830.62/7,868.63
  6. Step 6: Final answer
    x = 4,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.