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Finding the Fourth Proportional to 10,461.38, 15,698.20 and 3,892.10

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Solution

The fourth proportional to 10,461.38, 15,698.20 and 3,892.10 is: 5,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.38 : 15,698.20 = 3,892.10 : x
  2. Step 2: Convert to fraction form
    10,461.38/15,698.20 = 3,892.10/x
  3. Step 3: Cross multiply
    10,461.38x = 15,698.20 × 3,892.10
  4. Step 4: Simplify right side
    10,461.38x = 61,098,964.22
  5. Step 5: Solve for x
    x = 61,098,964.22/10,461.38
  6. Step 6: Final answer
    x = 5,840.43

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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.