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Finding the Fourth Proportional to 7,356.75, 11,034.82 and 1,809.82

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Solution

The fourth proportional to 7,356.75, 11,034.82 and 1,809.82 is: 2,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.75 : 11,034.82 = 1,809.82 : x
  2. Step 2: Convert to fraction form
    7,356.75/11,034.82 = 1,809.82/x
  3. Step 3: Cross multiply
    7,356.75x = 11,034.82 × 1,809.82
  4. Step 4: Simplify right side
    7,356.75x = 19,971,037.93
  5. Step 5: Solve for x
    x = 19,971,037.93/7,356.75
  6. Step 6: Final answer
    x = 2,714.65

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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.