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Finding the Fourth Proportional to 7,640.38, 11,459.76 and 5,409.91

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Solution

The fourth proportional to 7,640.38, 11,459.76 and 5,409.91 is: 8,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.38 : 11,459.76 = 5,409.91 : x
  2. Step 2: Convert to fraction form
    7,640.38/11,459.76 = 5,409.91/x
  3. Step 3: Cross multiply
    7,640.38x = 11,459.76 × 5,409.91
  4. Step 4: Simplify right side
    7,640.38x = 61,996,270.22
  5. Step 5: Solve for x
    x = 61,996,270.22/7,640.38
  6. Step 6: Final answer
    x = 8,114.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.