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Finding the Fourth Proportional to 7,618.26, 11,411.67 and 6,980.38

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Solution

The fourth proportional to 7,618.26, 11,411.67 and 6,980.38 is: 10,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.26 : 11,411.67 = 6,980.38 : x
  2. Step 2: Convert to fraction form
    7,618.26/11,411.67 = 6,980.38/x
  3. Step 3: Cross multiply
    7,618.26x = 11,411.67 × 6,980.38
  4. Step 4: Simplify right side
    7,618.26x = 79,657,793.03
  5. Step 5: Solve for x
    x = 79,657,793.03/7,618.26
  6. Step 6: Final answer
    x = 10,456.17

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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.