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Finding the Fourth Proportional to 7,515.88, 11,273.82 and 3,409

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Solution

The fourth proportional to 7,515.88, 11,273.82 and 3,409 is: 5,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515.88 : 11,273.82 = 3,409 : x
  2. Step 2: Convert to fraction form
    7,515.88/11,273.82 = 3,409/x
  3. Step 3: Cross multiply
    7,515.88x = 11,273.82 × 3,409
  4. Step 4: Simplify right side
    7,515.88x = 38,432,452.38
  5. Step 5: Solve for x
    x = 38,432,452.38/7,515.88
  6. Step 6: Final answer
    x = 5,113.50

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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.