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Finding the Fourth Proportional to 10,709.69, 16,067.70 and 3,314.68

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Solution

The fourth proportional to 10,709.69, 16,067.70 and 3,314.68 is: 4,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.69 : 16,067.70 = 3,314.68 : x
  2. Step 2: Convert to fraction form
    10,709.69/16,067.70 = 3,314.68/x
  3. Step 3: Cross multiply
    10,709.69x = 16,067.70 × 3,314.68
  4. Step 4: Simplify right side
    10,709.69x = 53,259,243.67
  5. Step 5: Solve for x
    x = 53,259,243.67/10,709.69
  6. Step 6: Final answer
    x = 4,973.00

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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.