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Finding the Fourth Proportional to 10,858.68, 16,275.24 and 4,616.82

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Solution

The fourth proportional to 10,858.68, 16,275.24 and 4,616.82 is: 6,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.68 : 16,275.24 = 4,616.82 : x
  2. Step 2: Convert to fraction form
    10,858.68/16,275.24 = 4,616.82/x
  3. Step 3: Cross multiply
    10,858.68x = 16,275.24 × 4,616.82
  4. Step 4: Simplify right side
    10,858.68x = 75,139,853.54
  5. Step 5: Solve for x
    x = 75,139,853.54/10,858.68
  6. Step 6: Final answer
    x = 6,919.80

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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.