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Finding the Fourth Proportional to 8,310.72, 11,457.60 and 6,039.84

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Solution

The fourth proportional to 8,310.72, 11,457.60 and 6,039.84 is: 8,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.72 : 11,457.60 = 6,039.84 : x
  2. Step 2: Convert to fraction form
    8,310.72/11,457.60 = 6,039.84/x
  3. Step 3: Cross multiply
    8,310.72x = 11,457.60 × 6,039.84
  4. Step 4: Simplify right side
    8,310.72x = 69,202,070.78
  5. Step 5: Solve for x
    x = 69,202,070.78/8,310.72
  6. Step 6: Final answer
    x = 8,326.84

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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.