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Finding the Fourth Proportional to 10,965.65, 16,449.51 and 3,068.16

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Solution

The fourth proportional to 10,965.65, 16,449.51 and 3,068.16 is: 4,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.65 : 16,449.51 = 3,068.16 : x
  2. Step 2: Convert to fraction form
    10,965.65/16,449.51 = 3,068.16/x
  3. Step 3: Cross multiply
    10,965.65x = 16,449.51 × 3,068.16
  4. Step 4: Simplify right side
    10,965.65x = 50,469,728.60
  5. Step 5: Solve for x
    x = 50,469,728.60/10,965.65
  6. Step 6: Final answer
    x = 4,602.53

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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.