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Finding the Fourth Proportional to 8,276.42, 11,421.11 and 4,499.49

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Solution

The fourth proportional to 8,276.42, 11,421.11 and 4,499.49 is: 6,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.42 : 11,421.11 = 4,499.49 : x
  2. Step 2: Convert to fraction form
    8,276.42/11,421.11 = 4,499.49/x
  3. Step 3: Cross multiply
    8,276.42x = 11,421.11 × 4,499.49
  4. Step 4: Simplify right side
    8,276.42x = 51,389,147.74
  5. Step 5: Solve for x
    x = 51,389,147.74/8,276.42
  6. Step 6: Final answer
    x = 6,209.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.