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Finding the Fourth Proportional to 11,705.66, 16,153.81 and 6,400.52

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Solution

The fourth proportional to 11,705.66, 16,153.81 and 6,400.52 is: 8,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.66 : 16,153.81 = 6,400.52 : x
  2. Step 2: Convert to fraction form
    11,705.66/16,153.81 = 6,400.52/x
  3. Step 3: Cross multiply
    11,705.66x = 16,153.81 × 6,400.52
  4. Step 4: Simplify right side
    11,705.66x = 103,392,703.21
  5. Step 5: Solve for x
    x = 103,392,703.21/11,705.66
  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.