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Finding the Fourth Proportional to 7,573, 11,365.98 and 2,959.24

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Solution

The fourth proportional to 7,573, 11,365.98 and 2,959.24 is: 4,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573 : 11,365.98 = 2,959.24 : x
  2. Step 2: Convert to fraction form
    7,573/11,365.98 = 2,959.24/x
  3. Step 3: Cross multiply
    7,573x = 11,365.98 × 2,959.24
  4. Step 4: Simplify right side
    7,573x = 33,634,662.66
  5. Step 5: Solve for x
    x = 33,634,662.66/7,573
  6. Step 6: Final answer
    x = 4,441.39

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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.