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Finding the Fourth Proportional to 11,740.93, 16,203.10 and 6,435.97

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Solution

The fourth proportional to 11,740.93, 16,203.10 and 6,435.97 is: 8,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.93 : 16,203.10 = 6,435.97 : x
  2. Step 2: Convert to fraction form
    11,740.93/16,203.10 = 6,435.97/x
  3. Step 3: Cross multiply
    11,740.93x = 16,203.10 × 6,435.97
  4. Step 4: Simplify right side
    11,740.93x = 104,282,584.49
  5. Step 5: Solve for x
    x = 104,282,584.49/11,740.93
  6. Step 6: Final answer
    x = 8,881.97

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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.