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Finding the Fourth Proportional to 11,785.88, 17,678.54 and 3,465.68

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Solution

The fourth proportional to 11,785.88, 17,678.54 and 3,465.68 is: 5,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.88 : 17,678.54 = 3,465.68 : x
  2. Step 2: Convert to fraction form
    11,785.88/17,678.54 = 3,465.68/x
  3. Step 3: Cross multiply
    11,785.88x = 17,678.54 × 3,465.68
  4. Step 4: Simplify right side
    11,785.88x = 61,268,162.51
  5. Step 5: Solve for x
    x = 61,268,162.51/11,785.88
  6. Step 6: Final answer
    x = 5,198.44

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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.