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Finding the Fourth Proportional to 10,805.88, 16,205.30 and 4,142.02

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Solution

The fourth proportional to 10,805.88, 16,205.30 and 4,142.02 is: 6,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.88 : 16,205.30 = 4,142.02 : x
  2. Step 2: Convert to fraction form
    10,805.88/16,205.30 = 4,142.02/x
  3. Step 3: Cross multiply
    10,805.88x = 16,205.30 × 4,142.02
  4. Step 4: Simplify right side
    10,805.88x = 67,122,661.40
  5. Step 5: Solve for x
    x = 67,122,661.40/10,805.88
  6. Step 6: Final answer
    x = 6,211.68

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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.