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Finding the Fourth Proportional to 7,507.25, 11,253.05 and 2,824.03

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Solution

The fourth proportional to 7,507.25, 11,253.05 and 2,824.03 is: 4,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.25 : 11,253.05 = 2,824.03 : x
  2. Step 2: Convert to fraction form
    7,507.25/11,253.05 = 2,824.03/x
  3. Step 3: Cross multiply
    7,507.25x = 11,253.05 × 2,824.03
  4. Step 4: Simplify right side
    7,507.25x = 31,778,961.33
  5. Step 5: Solve for x
    x = 31,778,961.33/7,507.25
  6. Step 6: Final answer
    x = 4,233.10

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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.