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Finding the Fourth Proportional to 11,785.13, 17,653.81 and 5,451

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Solution

The fourth proportional to 11,785.13, 17,653.81 and 5,451 is: 8,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.13 : 17,653.81 = 5,451 : x
  2. Step 2: Convert to fraction form
    11,785.13/17,653.81 = 5,451/x
  3. Step 3: Cross multiply
    11,785.13x = 17,653.81 × 5,451
  4. Step 4: Simplify right side
    11,785.13x = 96,230,918.31
  5. Step 5: Solve for x
    x = 96,230,918.31/11,785.13
  6. Step 6: Final answer
    x = 8,165.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.