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Finding the Fourth Proportional to 10,640.66, 15,960.99 and 5,443.70

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Solution

The fourth proportional to 10,640.66, 15,960.99 and 5,443.70 is: 8,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.66 : 15,960.99 = 5,443.70 : x
  2. Step 2: Convert to fraction form
    10,640.66/15,960.99 = 5,443.70/x
  3. Step 3: Cross multiply
    10,640.66x = 15,960.99 × 5,443.70
  4. Step 4: Simplify right side
    10,640.66x = 86,886,841.26
  5. Step 5: Solve for x
    x = 86,886,841.26/10,640.66
  6. Step 6: Final answer
    x = 8,165.55

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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.