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Finding the Fourth Proportional to 10,857.65, 16,287.89 and 3,066.66

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Solution

The fourth proportional to 10,857.65, 16,287.89 and 3,066.66 is: 4,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.65 : 16,287.89 = 3,066.66 : x
  2. Step 2: Convert to fraction form
    10,857.65/16,287.89 = 3,066.66/x
  3. Step 3: Cross multiply
    10,857.65x = 16,287.89 × 3,066.66
  4. Step 4: Simplify right side
    10,857.65x = 49,949,405.41
  5. Step 5: Solve for x
    x = 49,949,405.41/10,857.65
  6. Step 6: Final answer
    x = 4,600.39

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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.