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Finding the Fourth Proportional to 10,857.80, 16,292.10 and 4,284.20

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Solution

The fourth proportional to 10,857.80, 16,292.10 and 4,284.20 is: 6,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.80 : 16,292.10 = 4,284.20 : x
  2. Step 2: Convert to fraction form
    10,857.80/16,292.10 = 4,284.20/x
  3. Step 3: Cross multiply
    10,857.80x = 16,292.10 × 4,284.20
  4. Step 4: Simplify right side
    10,857.80x = 69,798,614.82
  5. Step 5: Solve for x
    x = 69,798,614.82/10,857.80
  6. Step 6: Final answer
    x = 6,428.43

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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.