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Finding the Fourth Proportional to 10,738.70, 14,817.02 and 10,384.73

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Solution

The fourth proportional to 10,738.70, 14,817.02 and 10,384.73 is: 14,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.70 : 14,817.02 = 10,384.73 : x
  2. Step 2: Convert to fraction form
    10,738.70/14,817.02 = 10,384.73/x
  3. Step 3: Cross multiply
    10,738.70x = 14,817.02 × 10,384.73
  4. Step 4: Simplify right side
    10,738.70x = 153,870,626.10
  5. Step 5: Solve for x
    x = 153,870,626.10/10,738.70
  6. Step 6: Final answer
    x = 14,328.61

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Why These Related Problems?

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