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Finding the Fourth Proportional to 7,666.85, 11,494.20 and 4,204.10

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Solution

The fourth proportional to 7,666.85, 11,494.20 and 4,204.10 is: 6,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.85 : 11,494.20 = 4,204.10 : x
  2. Step 2: Convert to fraction form
    7,666.85/11,494.20 = 4,204.10/x
  3. Step 3: Cross multiply
    7,666.85x = 11,494.20 × 4,204.10
  4. Step 4: Simplify right side
    7,666.85x = 48,322,766.22
  5. Step 5: Solve for x
    x = 48,322,766.22/7,666.85
  6. Step 6: Final answer
    x = 6,302.82

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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.