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Finding the Fourth Proportional to 10,716.84, 16,085.64 and 5,174.08

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Solution

The fourth proportional to 10,716.84, 16,085.64 and 5,174.08 is: 7,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.84 : 16,085.64 = 5,174.08 : x
  2. Step 2: Convert to fraction form
    10,716.84/16,085.64 = 5,174.08/x
  3. Step 3: Cross multiply
    10,716.84x = 16,085.64 × 5,174.08
  4. Step 4: Simplify right side
    10,716.84x = 83,228,388.21
  5. Step 5: Solve for x
    x = 83,228,388.21/10,716.84
  6. Step 6: Final answer
    x = 7,766.13

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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.