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Finding the Fourth Proportional to 27,598.26, 41,398.92 and 7,875.30

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Solution

The fourth proportional to 27,598.26, 41,398.92 and 7,875.30 is: 11,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.26 : 41,398.92 = 7,875.30 : x
  2. Step 2: Convert to fraction form
    27,598.26/41,398.92 = 7,875.30/x
  3. Step 3: Cross multiply
    27,598.26x = 41,398.92 × 7,875.30
  4. Step 4: Simplify right side
    27,598.26x = 326,028,914.68
  5. Step 5: Solve for x
    x = 326,028,914.68/27,598.26
  6. Step 6: Final answer
    x = 11,813.39

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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.