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Finding the Fourth Proportional to 10,605.52, 15,907.37 and 3,211.64

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Solution

The fourth proportional to 10,605.52, 15,907.37 and 3,211.64 is: 4,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.52 : 15,907.37 = 3,211.64 : x
  2. Step 2: Convert to fraction form
    10,605.52/15,907.37 = 3,211.64/x
  3. Step 3: Cross multiply
    10,605.52x = 15,907.37 × 3,211.64
  4. Step 4: Simplify right side
    10,605.52x = 51,088,745.79
  5. Step 5: Solve for x
    x = 51,088,745.79/10,605.52
  6. Step 6: Final answer
    x = 4,817.18

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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.