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Finding the Fourth Proportional to 8,457.80, 11,676.42 and 6,332.56

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Solution

The fourth proportional to 8,457.80, 11,676.42 and 6,332.56 is: 8,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.80 : 11,676.42 = 6,332.56 : x
  2. Step 2: Convert to fraction form
    8,457.80/11,676.42 = 6,332.56/x
  3. Step 3: Cross multiply
    8,457.80x = 11,676.42 × 6,332.56
  4. Step 4: Simplify right side
    8,457.80x = 73,941,630.24
  5. Step 5: Solve for x
    x = 73,941,630.24/8,457.80
  6. Step 6: Final answer
    x = 8,742.42

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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.