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Finding the Fourth Proportional to 7,573.24, 11,353.20 and 2,953

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Solution

The fourth proportional to 7,573.24, 11,353.20 and 2,953 is: 4,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.24 : 11,353.20 = 2,953 : x
  2. Step 2: Convert to fraction form
    7,573.24/11,353.20 = 2,953/x
  3. Step 3: Cross multiply
    7,573.24x = 11,353.20 × 2,953
  4. Step 4: Simplify right side
    7,573.24x = 33,525,999.60
  5. Step 5: Solve for x
    x = 33,525,999.60/7,573.24
  6. Step 6: Final answer
    x = 4,426.90

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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.