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Finding the Fourth Proportional to 10,857.47, 16,284.81 and 4,616.33

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Solution

The fourth proportional to 10,857.47, 16,284.81 and 4,616.33 is: 6,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.47 : 16,284.81 = 4,616.33 : x
  2. Step 2: Convert to fraction form
    10,857.47/16,284.81 = 4,616.33/x
  3. Step 3: Cross multiply
    10,857.47x = 16,284.81 × 4,616.33
  4. Step 4: Simplify right side
    10,857.47x = 75,176,056.95
  5. Step 5: Solve for x
    x = 75,176,056.95/10,857.47
  6. Step 6: Final answer
    x = 6,923.90

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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.