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Finding the Fourth Proportional to 10,712.85, 16,066.16 and 4,137.54

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Solution

The fourth proportional to 10,712.85, 16,066.16 and 4,137.54 is: 6,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.85 : 16,066.16 = 4,137.54 : x
  2. Step 2: Convert to fraction form
    10,712.85/16,066.16 = 4,137.54/x
  3. Step 3: Cross multiply
    10,712.85x = 16,066.16 × 4,137.54
  4. Step 4: Simplify right side
    10,712.85x = 66,474,379.65
  5. Step 5: Solve for x
    x = 66,474,379.65/10,712.85
  6. Step 6: Final answer
    x = 6,205.11

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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.