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Finding the Fourth Proportional to 10,512.68, 14,507.62 and 5,797.14

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Solution

The fourth proportional to 10,512.68, 14,507.62 and 5,797.14 is: 8,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.68 : 14,507.62 = 5,797.14 : x
  2. Step 2: Convert to fraction form
    10,512.68/14,507.62 = 5,797.14/x
  3. Step 3: Cross multiply
    10,512.68x = 14,507.62 × 5,797.14
  4. Step 4: Simplify right side
    10,512.68x = 84,102,704.21
  5. Step 5: Solve for x
    x = 84,102,704.21/10,512.68
  6. Step 6: Final answer
    x = 8,000.12

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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.