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Finding the Fourth Proportional to 11,738.96, 16,200.14 and 6,434.11

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Solution

The fourth proportional to 11,738.96, 16,200.14 and 6,434.11 is: 8,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.96 : 16,200.14 = 6,434.11 : x
  2. Step 2: Convert to fraction form
    11,738.96/16,200.14 = 6,434.11/x
  3. Step 3: Cross multiply
    11,738.96x = 16,200.14 × 6,434.11
  4. Step 4: Simplify right side
    11,738.96x = 104,233,482.78
  5. Step 5: Solve for x
    x = 104,233,482.78/11,738.96
  6. Step 6: Final answer
    x = 8,879.28

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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.