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Finding the Fourth Proportional to 11,343, 17,012.94 and 3,023.70

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Solution

The fourth proportional to 11,343, 17,012.94 and 3,023.70 is: 4,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 17,012.94 = 3,023.70 : x
  2. Step 2: Convert to fraction form
    11,343/17,012.94 = 3,023.70/x
  3. Step 3: Cross multiply
    11,343x = 17,012.94 × 3,023.70
  4. Step 4: Simplify right side
    11,343x = 51,442,026.68
  5. Step 5: Solve for x
    x = 51,442,026.68/11,343
  6. Step 6: Final answer
    x = 4,535.13

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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.