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Finding the Fourth Proportional to 7,219.50, 10,833.57 and 3,115.50

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Solution

The fourth proportional to 7,219.50, 10,833.57 and 3,115.50 is: 4,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.50 : 10,833.57 = 3,115.50 : x
  2. Step 2: Convert to fraction form
    7,219.50/10,833.57 = 3,115.50/x
  3. Step 3: Cross multiply
    7,219.50x = 10,833.57 × 3,115.50
  4. Step 4: Simplify right side
    7,219.50x = 33,751,987.34
  5. Step 5: Solve for x
    x = 33,751,987.34/7,219.50
  6. Step 6: Final answer
    x = 4,675.11

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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.