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Finding the Fourth Proportional to 8,461.69, 11,680.41 and 7,575.96

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Solution

The fourth proportional to 8,461.69, 11,680.41 and 7,575.96 is: 10,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.69 : 11,680.41 = 7,575.96 : x
  2. Step 2: Convert to fraction form
    8,461.69/11,680.41 = 7,575.96/x
  3. Step 3: Cross multiply
    8,461.69x = 11,680.41 × 7,575.96
  4. Step 4: Simplify right side
    8,461.69x = 88,490,270.80
  5. Step 5: Solve for x
    x = 88,490,270.80/8,461.69
  6. Step 6: Final answer
    x = 10,457.75

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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.