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Finding the Fourth Proportional to 10,719.64, 16,078.04 and 6,759.14

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Solution

The fourth proportional to 10,719.64, 16,078.04 and 6,759.14 is: 10,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.64 : 16,078.04 = 6,759.14 : x
  2. Step 2: Convert to fraction form
    10,719.64/16,078.04 = 6,759.14/x
  3. Step 3: Cross multiply
    10,719.64x = 16,078.04 × 6,759.14
  4. Step 4: Simplify right side
    10,719.64x = 108,673,689.49
  5. Step 5: Solve for x
    x = 108,673,689.49/10,719.64
  6. Step 6: Final answer
    x = 10,137.82

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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.