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Finding the Fourth Proportional to 10,705.28, 16,055.08 and 2,912.28

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Solution

The fourth proportional to 10,705.28, 16,055.08 and 2,912.28 is: 4,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.28 : 16,055.08 = 2,912.28 : x
  2. Step 2: Convert to fraction form
    10,705.28/16,055.08 = 2,912.28/x
  3. Step 3: Cross multiply
    10,705.28x = 16,055.08 × 2,912.28
  4. Step 4: Simplify right side
    10,705.28x = 46,756,888.38
  5. Step 5: Solve for x
    x = 46,756,888.38/10,705.28
  6. Step 6: Final answer
    x = 4,367.65

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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.