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Finding the Fourth Proportional to 7,193.63, 10,789.66 and 1,929.17

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Solution

The fourth proportional to 7,193.63, 10,789.66 and 1,929.17 is: 2,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.63 : 10,789.66 = 1,929.17 : x
  2. Step 2: Convert to fraction form
    7,193.63/10,789.66 = 1,929.17/x
  3. Step 3: Cross multiply
    7,193.63x = 10,789.66 × 1,929.17
  4. Step 4: Simplify right side
    7,193.63x = 20,815,062.50
  5. Step 5: Solve for x
    x = 20,815,062.50/7,193.63
  6. Step 6: Final answer
    x = 2,893.54

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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.