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Finding the Fourth Proportional to 7,383, 11,074.45 and 2,317.57

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Solution

The fourth proportional to 7,383, 11,074.45 and 2,317.57 is: 3,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 11,074.45 = 2,317.57 : x
  2. Step 2: Convert to fraction form
    7,383/11,074.45 = 2,317.57/x
  3. Step 3: Cross multiply
    7,383x = 11,074.45 × 2,317.57
  4. Step 4: Simplify right side
    7,383x = 25,665,813.09
  5. Step 5: Solve for x
    x = 25,665,813.09/7,383
  6. Step 6: Final answer
    x = 3,476.34

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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.