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Finding the Fourth Proportional to 10,193.65, 15,296.97 and 4,647.54

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Solution

The fourth proportional to 10,193.65, 15,296.97 and 4,647.54 is: 6,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.65 : 15,296.97 = 4,647.54 : x
  2. Step 2: Convert to fraction form
    10,193.65/15,296.97 = 4,647.54/x
  3. Step 3: Cross multiply
    10,193.65x = 15,296.97 × 4,647.54
  4. Step 4: Simplify right side
    10,193.65x = 71,093,306.58
  5. Step 5: Solve for x
    x = 71,093,306.58/10,193.65
  6. Step 6: Final answer
    x = 6,974.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.