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Finding the Fourth Proportional to 8,308.69, 11,466.13 and 4,531.86

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Solution

The fourth proportional to 8,308.69, 11,466.13 and 4,531.86 is: 6,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.69 : 11,466.13 = 4,531.86 : x
  2. Step 2: Convert to fraction form
    8,308.69/11,466.13 = 4,531.86/x
  3. Step 3: Cross multiply
    8,308.69x = 11,466.13 × 4,531.86
  4. Step 4: Simplify right side
    8,308.69x = 51,962,857.54
  5. Step 5: Solve for x
    x = 51,962,857.54/8,308.69
  6. Step 6: Final answer
    x = 6,254.04

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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.