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Finding the Fourth Proportional to 10,716.21, 14,784.75 and 6,944.22

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Solution

The fourth proportional to 10,716.21, 14,784.75 and 6,944.22 is: 9,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.21 : 14,784.75 = 6,944.22 : x
  2. Step 2: Convert to fraction form
    10,716.21/14,784.75 = 6,944.22/x
  3. Step 3: Cross multiply
    10,716.21x = 14,784.75 × 6,944.22
  4. Step 4: Simplify right side
    10,716.21x = 102,668,556.65
  5. Step 5: Solve for x
    x = 102,668,556.65/10,716.21
  6. Step 6: Final answer
    x = 9,580.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.