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Finding the Fourth Proportional to 10,855.39, 16,285.64 and 8,642.59

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Solution

The fourth proportional to 10,855.39, 16,285.64 and 8,642.59 is: 12,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.39 : 16,285.64 = 8,642.59 : x
  2. Step 2: Convert to fraction form
    10,855.39/16,285.64 = 8,642.59/x
  3. Step 3: Cross multiply
    10,855.39x = 16,285.64 × 8,642.59
  4. Step 4: Simplify right side
    10,855.39x = 140,750,090.30
  5. Step 5: Solve for x
    x = 140,750,090.30/10,855.39
  6. Step 6: Final answer
    x = 12,965.92

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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.