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Finding the Fourth Proportional to 7,342.53, 11,024.73 and 2,968.53

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Solution

The fourth proportional to 7,342.53, 11,024.73 and 2,968.53 is: 4,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.53 : 11,024.73 = 2,968.53 : x
  2. Step 2: Convert to fraction form
    7,342.53/11,024.73 = 2,968.53/x
  3. Step 3: Cross multiply
    7,342.53x = 11,024.73 × 2,968.53
  4. Step 4: Simplify right side
    7,342.53x = 32,727,241.75
  5. Step 5: Solve for x
    x = 32,727,241.75/7,342.53
  6. Step 6: Final answer
    x = 4,457.22

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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.