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Finding the Fourth Proportional to 10,647.33, 15,974.07 and 4,406.19

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Solution

The fourth proportional to 10,647.33, 15,974.07 and 4,406.19 is: 6,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.33 : 15,974.07 = 4,406.19 : x
  2. Step 2: Convert to fraction form
    10,647.33/15,974.07 = 4,406.19/x
  3. Step 3: Cross multiply
    10,647.33x = 15,974.07 × 4,406.19
  4. Step 4: Simplify right side
    10,647.33x = 70,384,787.49
  5. Step 5: Solve for x
    x = 70,384,787.49/10,647.33
  6. Step 6: Final answer
    x = 6,610.56

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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.