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Finding the Fourth Proportional to 10,805.75, 16,197.47 and 4,140.42

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Solution

The fourth proportional to 10,805.75, 16,197.47 and 4,140.42 is: 6,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.75 : 16,197.47 = 4,140.42 : x
  2. Step 2: Convert to fraction form
    10,805.75/16,197.47 = 4,140.42/x
  3. Step 3: Cross multiply
    10,805.75x = 16,197.47 × 4,140.42
  4. Step 4: Simplify right side
    10,805.75x = 67,064,328.74
  5. Step 5: Solve for x
    x = 67,064,328.74/10,805.75
  6. Step 6: Final answer
    x = 6,206.36

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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.