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Finding the Fourth Proportional to 6,716.29, 10,074.42 and 1,785.93

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Solution

The fourth proportional to 6,716.29, 10,074.42 and 1,785.93 is: 2,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.29 : 10,074.42 = 1,785.93 : x
  2. Step 2: Convert to fraction form
    6,716.29/10,074.42 = 1,785.93/x
  3. Step 3: Cross multiply
    6,716.29x = 10,074.42 × 1,785.93
  4. Step 4: Simplify right side
    6,716.29x = 17,992,208.91
  5. Step 5: Solve for x
    x = 17,992,208.91/6,716.29
  6. Step 6: Final answer
    x = 2,678.89

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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.