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Finding the Fourth Proportional to 10,805.22, 16,207.83 and 2,597.22

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Solution

The fourth proportional to 10,805.22, 16,207.83 and 2,597.22 is: 3,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.22 : 16,207.83 = 2,597.22 : x
  2. Step 2: Convert to fraction form
    10,805.22/16,207.83 = 2,597.22/x
  3. Step 3: Cross multiply
    10,805.22x = 16,207.83 × 2,597.22
  4. Step 4: Simplify right side
    10,805.22x = 42,095,300.23
  5. Step 5: Solve for x
    x = 42,095,300.23/10,805.22
  6. Step 6: Final answer
    x = 3,895.83

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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.