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Finding the Fourth Proportional to 11,705.68, 16,153.90 and 6,400.50

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Solution

The fourth proportional to 11,705.68, 16,153.90 and 6,400.50 is: 8,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.68 : 16,153.90 = 6,400.50 : x
  2. Step 2: Convert to fraction form
    11,705.68/16,153.90 = 6,400.50/x
  3. Step 3: Cross multiply
    11,705.68x = 16,153.90 × 6,400.50
  4. Step 4: Simplify right side
    11,705.68x = 103,392,960.37
  5. Step 5: Solve for x
    x = 103,392,960.37/11,705.68
  6. Step 6: Final answer
    x = 8,832.71

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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.