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Finding the Fourth Proportional to 10,805.61, 16,198.70 and 3,875.25

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Solution

The fourth proportional to 10,805.61, 16,198.70 and 3,875.25 is: 5,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.61 : 16,198.70 = 3,875.25 : x
  2. Step 2: Convert to fraction form
    10,805.61/16,198.70 = 3,875.25/x
  3. Step 3: Cross multiply
    10,805.61x = 16,198.70 × 3,875.25
  4. Step 4: Simplify right side
    10,805.61x = 62,773,992.80
  5. Step 5: Solve for x
    x = 62,773,992.80/10,805.61
  6. Step 6: Final answer
    x = 5,809.39

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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.