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Finding the Fourth Proportional to 10,716.24, 16,080.48 and 6,342.24

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Solution

The fourth proportional to 10,716.24, 16,080.48 and 6,342.24 is: 9,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.24 : 16,080.48 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    10,716.24/16,080.48 = 6,342.24/x
  3. Step 3: Cross multiply
    10,716.24x = 16,080.48 × 6,342.24
  4. Step 4: Simplify right side
    10,716.24x = 101,986,263.48
  5. Step 5: Solve for x
    x = 101,986,263.48/10,716.24
  6. Step 6: Final answer
    x = 9,516.98

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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.