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Finding the Fourth Proportional to 7,837.90, 11,761.73 and 4,882.15

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Solution

The fourth proportional to 7,837.90, 11,761.73 and 4,882.15 is: 7,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.90 : 11,761.73 = 4,882.15 : x
  2. Step 2: Convert to fraction form
    7,837.90/11,761.73 = 4,882.15/x
  3. Step 3: Cross multiply
    7,837.90x = 11,761.73 × 4,882.15
  4. Step 4: Simplify right side
    7,837.90x = 57,422,488.51
  5. Step 5: Solve for x
    x = 57,422,488.51/7,837.90
  6. Step 6: Final answer
    x = 7,326.26

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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.