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Finding the Fourth Proportional to 7,507.89, 11,262.42 and 2,242.50

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Solution

The fourth proportional to 7,507.89, 11,262.42 and 2,242.50 is: 3,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.89 : 11,262.42 = 2,242.50 : x
  2. Step 2: Convert to fraction form
    7,507.89/11,262.42 = 2,242.50/x
  3. Step 3: Cross multiply
    7,507.89x = 11,262.42 × 2,242.50
  4. Step 4: Simplify right side
    7,507.89x = 25,255,976.85
  5. Step 5: Solve for x
    x = 25,255,976.85/7,507.89
  6. Step 6: Final answer
    x = 3,363.92

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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.