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Finding the Fourth Proportional to 7,647.49, 10,549.96 and 4,813.57

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Solution

The fourth proportional to 7,647.49, 10,549.96 and 4,813.57 is: 6,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.49 : 10,549.96 = 4,813.57 : x
  2. Step 2: Convert to fraction form
    7,647.49/10,549.96 = 4,813.57/x
  3. Step 3: Cross multiply
    7,647.49x = 10,549.96 × 4,813.57
  4. Step 4: Simplify right side
    7,647.49x = 50,782,970.96
  5. Step 5: Solve for x
    x = 50,782,970.96/7,647.49
  6. Step 6: Final answer
    x = 6,640.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.