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Finding the Fourth Proportional to 10,964.85, 16,343.04 and 10,342.10

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Solution

The fourth proportional to 10,964.85, 16,343.04 and 10,342.10 is: 15,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.85 : 16,343.04 = 10,342.10 : x
  2. Step 2: Convert to fraction form
    10,964.85/16,343.04 = 10,342.10/x
  3. Step 3: Cross multiply
    10,964.85x = 16,343.04 × 10,342.10
  4. Step 4: Simplify right side
    10,964.85x = 169,021,298.12
  5. Step 5: Solve for x
    x = 169,021,298.12/10,964.85
  6. Step 6: Final answer
    x = 15,414.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.