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Finding the Fourth Proportional to 25,850.25, 38,778.08 and 7,130.29

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Solution

The fourth proportional to 25,850.25, 38,778.08 and 7,130.29 is: 10,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.25 : 38,778.08 = 7,130.29 : x
  2. Step 2: Convert to fraction form
    25,850.25/38,778.08 = 7,130.29/x
  3. Step 3: Cross multiply
    25,850.25x = 38,778.08 × 7,130.29
  4. Step 4: Simplify right side
    25,850.25x = 276,498,968.86
  5. Step 5: Solve for x
    x = 276,498,968.86/25,850.25
  6. Step 6: Final answer
    x = 10,696.18

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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.