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Finding the Fourth Proportional to 7,609.41, 10,460.67 and 6,543.27

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Solution

The fourth proportional to 7,609.41, 10,460.67 and 6,543.27 is: 8,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.41 : 10,460.67 = 6,543.27 : x
  2. Step 2: Convert to fraction form
    7,609.41/10,460.67 = 6,543.27/x
  3. Step 3: Cross multiply
    7,609.41x = 10,460.67 × 6,543.27
  4. Step 4: Simplify right side
    7,609.41x = 68,446,988.19
  5. Step 5: Solve for x
    x = 68,446,988.19/7,609.41
  6. Step 6: Final answer
    x = 8,995.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.