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Finding the Fourth Proportional to 7,460.56, 11,188.56 and 2,462.02

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Solution

The fourth proportional to 7,460.56, 11,188.56 and 2,462.02 is: 3,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.56 : 11,188.56 = 2,462.02 : x
  2. Step 2: Convert to fraction form
    7,460.56/11,188.56 = 2,462.02/x
  3. Step 3: Cross multiply
    7,460.56x = 11,188.56 × 2,462.02
  4. Step 4: Simplify right side
    7,460.56x = 27,546,458.49
  5. Step 5: Solve for x
    x = 27,546,458.49/7,460.56
  6. Step 6: Final answer
    x = 3,692.28

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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.