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Finding the Fourth Proportional to 10,738.44, 16,096.68 and 4,502.07

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Solution

The fourth proportional to 10,738.44, 16,096.68 and 4,502.07 is: 6,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.44 : 16,096.68 = 4,502.07 : x
  2. Step 2: Convert to fraction form
    10,738.44/16,096.68 = 4,502.07/x
  3. Step 3: Cross multiply
    10,738.44x = 16,096.68 × 4,502.07
  4. Step 4: Simplify right side
    10,738.44x = 72,468,380.13
  5. Step 5: Solve for x
    x = 72,468,380.13/10,738.44
  6. Step 6: Final answer
    x = 6,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.