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Finding the Fourth Proportional to 11,705.88, 16,153.88 and 6,400.64

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Solution

The fourth proportional to 11,705.88, 16,153.88 and 6,400.64 is: 8,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.88 : 16,153.88 = 6,400.64 : x
  2. Step 2: Convert to fraction form
    11,705.88/16,153.88 = 6,400.64/x
  3. Step 3: Cross multiply
    11,705.88x = 16,153.88 × 6,400.64
  4. Step 4: Simplify right side
    11,705.88x = 103,395,170.48
  5. Step 5: Solve for x
    x = 103,395,170.48/11,705.88
  6. Step 6: Final answer
    x = 8,832.76

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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.