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Finding the Fourth Proportional to 10,158.30, 14,016.33 and 5,964.30

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Solution

The fourth proportional to 10,158.30, 14,016.33 and 5,964.30 is: 8,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.30 : 14,016.33 = 5,964.30 : x
  2. Step 2: Convert to fraction form
    10,158.30/14,016.33 = 5,964.30/x
  3. Step 3: Cross multiply
    10,158.30x = 14,016.33 × 5,964.30
  4. Step 4: Simplify right side
    10,158.30x = 83,597,597.02
  5. Step 5: Solve for x
    x = 83,597,597.02/10,158.30
  6. Step 6: Final answer
    x = 8,229.49

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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.