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Finding the Fourth Proportional to 7,961.31, 11,000.70 and 5,730.57

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Solution

The fourth proportional to 7,961.31, 11,000.70 and 5,730.57 is: 7,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.31 : 11,000.70 = 5,730.57 : x
  2. Step 2: Convert to fraction form
    7,961.31/11,000.70 = 5,730.57/x
  3. Step 3: Cross multiply
    7,961.31x = 11,000.70 × 5,730.57
  4. Step 4: Simplify right side
    7,961.31x = 63,040,281.40
  5. Step 5: Solve for x
    x = 63,040,281.40/7,961.31
  6. Step 6: Final answer
    x = 7,918.33

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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.