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Finding the Fourth Proportional to 10,709.55, 16,064.96 and 4,135.77

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Solution

The fourth proportional to 10,709.55, 16,064.96 and 4,135.77 is: 6,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.55 : 16,064.96 = 4,135.77 : x
  2. Step 2: Convert to fraction form
    10,709.55/16,064.96 = 4,135.77/x
  3. Step 3: Cross multiply
    10,709.55x = 16,064.96 × 4,135.77
  4. Step 4: Simplify right side
    10,709.55x = 66,440,958.94
  5. Step 5: Solve for x
    x = 66,440,958.94/10,709.55
  6. Step 6: Final answer
    x = 6,203.90

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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.