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Finding the Fourth Proportional to 11,486.30, 17,245.65 and 7,112.30

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Solution

The fourth proportional to 11,486.30, 17,245.65 and 7,112.30 is: 10,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.30 : 17,245.65 = 7,112.30 : x
  2. Step 2: Convert to fraction form
    11,486.30/17,245.65 = 7,112.30/x
  3. Step 3: Cross multiply
    11,486.30x = 17,245.65 × 7,112.30
  4. Step 4: Simplify right side
    11,486.30x = 122,656,236.50
  5. Step 5: Solve for x
    x = 122,656,236.50/11,486.30
  6. Step 6: Final answer
    x = 10,678.48

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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.