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Finding the Fourth Proportional to 10,680.57, 14,738.49 and 5,900.49

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Solution

The fourth proportional to 10,680.57, 14,738.49 and 5,900.49 is: 8,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.57 : 14,738.49 = 5,900.49 : x
  2. Step 2: Convert to fraction form
    10,680.57/14,738.49 = 5,900.49/x
  3. Step 3: Cross multiply
    10,680.57x = 14,738.49 × 5,900.49
  4. Step 4: Simplify right side
    10,680.57x = 86,964,312.86
  5. Step 5: Solve for x
    x = 86,964,312.86/10,680.57
  6. Step 6: Final answer
    x = 8,142.29

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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.