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Finding the Fourth Proportional to 10,384.26, 14,321.24 and 6,348.03

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Solution

The fourth proportional to 10,384.26, 14,321.24 and 6,348.03 is: 8,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.26 : 14,321.24 = 6,348.03 : x
  2. Step 2: Convert to fraction form
    10,384.26/14,321.24 = 6,348.03/x
  3. Step 3: Cross multiply
    10,384.26x = 14,321.24 × 6,348.03
  4. Step 4: Simplify right side
    10,384.26x = 90,911,706.93
  5. Step 5: Solve for x
    x = 90,911,706.93/10,384.26
  6. Step 6: Final answer
    x = 8,754.76

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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.