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Finding the Fourth Proportional to 7,585.31, 11,418.91 and 6,822.38

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Solution

The fourth proportional to 7,585.31, 11,418.91 and 6,822.38 is: 10,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.31 : 11,418.91 = 6,822.38 : x
  2. Step 2: Convert to fraction form
    7,585.31/11,418.91 = 6,822.38/x
  3. Step 3: Cross multiply
    7,585.31x = 11,418.91 × 6,822.38
  4. Step 4: Simplify right side
    7,585.31x = 77,904,154.70
  5. Step 5: Solve for x
    x = 77,904,154.70/7,585.31
  6. Step 6: Final answer
    x = 10,270.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.