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Finding the Fourth Proportional to 11,435.37, 15,781.62 and 6,400.08

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Solution

The fourth proportional to 11,435.37, 15,781.62 and 6,400.08 is: 8,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.37 : 15,781.62 = 6,400.08 : x
  2. Step 2: Convert to fraction form
    11,435.37/15,781.62 = 6,400.08/x
  3. Step 3: Cross multiply
    11,435.37x = 15,781.62 × 6,400.08
  4. Step 4: Simplify right side
    11,435.37x = 101,003,630.53
  5. Step 5: Solve for x
    x = 101,003,630.53/11,435.37
  6. Step 6: Final answer
    x = 8,832.56

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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.