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Finding the Fourth Proportional to 11,829, 17,746.50 and 4,433.48

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Solution

The fourth proportional to 11,829, 17,746.50 and 4,433.48 is: 6,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 17,746.50 = 4,433.48 : x
  2. Step 2: Convert to fraction form
    11,829/17,746.50 = 4,433.48/x
  3. Step 3: Cross multiply
    11,829x = 17,746.50 × 4,433.48
  4. Step 4: Simplify right side
    11,829x = 78,678,752.82
  5. Step 5: Solve for x
    x = 78,678,752.82/11,829
  6. Step 6: Final answer
    x = 6,651.34

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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.