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Finding the Fourth Proportional to 25,882.83, 38,825.88 and 6,907.11

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Solution

The fourth proportional to 25,882.83, 38,825.88 and 6,907.11 is: 10,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.83 : 38,825.88 = 6,907.11 : x
  2. Step 2: Convert to fraction form
    25,882.83/38,825.88 = 6,907.11/x
  3. Step 3: Cross multiply
    25,882.83x = 38,825.88 × 6,907.11
  4. Step 4: Simplify right side
    25,882.83x = 268,174,452.51
  5. Step 5: Solve for x
    x = 268,174,452.51/25,882.83
  6. Step 6: Final answer
    x = 10,361.09

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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.