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Finding the Fourth Proportional to 7,643.49, 10,549.90 and 4,660.97

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Solution

The fourth proportional to 7,643.49, 10,549.90 and 4,660.97 is: 6,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.49 : 10,549.90 = 4,660.97 : x
  2. Step 2: Convert to fraction form
    7,643.49/10,549.90 = 4,660.97/x
  3. Step 3: Cross multiply
    7,643.49x = 10,549.90 × 4,660.97
  4. Step 4: Simplify right side
    7,643.49x = 49,172,767.40
  5. Step 5: Solve for x
    x = 49,172,767.40/7,643.49
  6. Step 6: Final answer
    x = 6,433.29

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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.