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Finding the Fourth Proportional to 6,857.13, 10,271.99 and 3,154.29

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Solution

The fourth proportional to 6,857.13, 10,271.99 and 3,154.29 is: 4,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.13 : 10,271.99 = 3,154.29 : x
  2. Step 2: Convert to fraction form
    6,857.13/10,271.99 = 3,154.29/x
  3. Step 3: Cross multiply
    6,857.13x = 10,271.99 × 3,154.29
  4. Step 4: Simplify right side
    6,857.13x = 32,400,835.34
  5. Step 5: Solve for x
    x = 32,400,835.34/6,857.13
  6. Step 6: Final answer
    x = 4,725.13

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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.