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Finding the Fourth Proportional to 11,340, 17,017.29 and 4,414.50

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Solution

The fourth proportional to 11,340, 17,017.29 and 4,414.50 is: 6,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 17,017.29 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    11,340/17,017.29 = 4,414.50/x
  3. Step 3: Cross multiply
    11,340x = 17,017.29 × 4,414.50
  4. Step 4: Simplify right side
    11,340x = 75,122,826.71
  5. Step 5: Solve for x
    x = 75,122,826.71/11,340
  6. Step 6: Final answer
    x = 6,624.59

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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.