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Finding the Fourth Proportional to 27,781.29, 41,671.40 and 7,004.25

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Solution

The fourth proportional to 27,781.29, 41,671.40 and 7,004.25 is: 10,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.29 : 41,671.40 = 7,004.25 : x
  2. Step 2: Convert to fraction form
    27,781.29/41,671.40 = 7,004.25/x
  3. Step 3: Cross multiply
    27,781.29x = 41,671.40 × 7,004.25
  4. Step 4: Simplify right side
    27,781.29x = 291,876,868.43
  5. Step 5: Solve for x
    x = 291,876,868.43/27,781.29
  6. Step 6: Final answer
    x = 10,506.24

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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.