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Finding the Fourth Proportional to 7,202, 10,804.08 and 2,586.08

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Solution

The fourth proportional to 7,202, 10,804.08 and 2,586.08 is: 3,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 10,804.08 = 2,586.08 : x
  2. Step 2: Convert to fraction form
    7,202/10,804.08 = 2,586.08/x
  3. Step 3: Cross multiply
    7,202x = 10,804.08 × 2,586.08
  4. Step 4: Simplify right side
    7,202x = 27,940,215.21
  5. Step 5: Solve for x
    x = 27,940,215.21/7,202
  6. Step 6: Final answer
    x = 3,879.51

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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.