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Finding the Fourth Proportional to 10,880.37, 16,317.09 and 6,714.14

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Solution

The fourth proportional to 10,880.37, 16,317.09 and 6,714.14 is: 10,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.37 : 16,317.09 = 6,714.14 : x
  2. Step 2: Convert to fraction form
    10,880.37/16,317.09 = 6,714.14/x
  3. Step 3: Cross multiply
    10,880.37x = 16,317.09 × 6,714.14
  4. Step 4: Simplify right side
    10,880.37x = 109,555,145.07
  5. Step 5: Solve for x
    x = 109,555,145.07/10,880.37
  6. Step 6: Final answer
    x = 10,069.06

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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.