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Finding the Fourth Proportional to 10,771.96, 16,170.90 and 6,417.40

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Solution

The fourth proportional to 10,771.96, 16,170.90 and 6,417.40 is: 9,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.96 : 16,170.90 = 6,417.40 : x
  2. Step 2: Convert to fraction form
    10,771.96/16,170.90 = 6,417.40/x
  3. Step 3: Cross multiply
    10,771.96x = 16,170.90 × 6,417.40
  4. Step 4: Simplify right side
    10,771.96x = 103,775,133.66
  5. Step 5: Solve for x
    x = 103,775,133.66/10,771.96
  6. Step 6: Final answer
    x = 9,633.82

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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.