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Finding the Fourth Proportional to 6,710.96, 10,067.25 and 1,780.69

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Solution

The fourth proportional to 6,710.96, 10,067.25 and 1,780.69 is: 2,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.96 : 10,067.25 = 1,780.69 : x
  2. Step 2: Convert to fraction form
    6,710.96/10,067.25 = 1,780.69/x
  3. Step 3: Cross multiply
    6,710.96x = 10,067.25 × 1,780.69
  4. Step 4: Simplify right side
    6,710.96x = 17,926,592.16
  5. Step 5: Solve for x
    x = 17,926,592.16/6,710.96
  6. Step 6: Final answer
    x = 2,671.24

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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.