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Finding the Fourth Proportional to 8,266.46, 11,407.82 and 4,489.64

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Solution

The fourth proportional to 8,266.46, 11,407.82 and 4,489.64 is: 6,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.46 : 11,407.82 = 4,489.64 : x
  2. Step 2: Convert to fraction form
    8,266.46/11,407.82 = 4,489.64/x
  3. Step 3: Cross multiply
    8,266.46x = 11,407.82 × 4,489.64
  4. Step 4: Simplify right side
    8,266.46x = 51,216,925.50
  5. Step 5: Solve for x
    x = 51,216,925.50/8,266.46
  6. Step 6: Final answer
    x = 6,195.75

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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.