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Finding the Fourth Proportional to 11,925.78, 16,454.25 and 7,454.09

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Solution

The fourth proportional to 11,925.78, 16,454.25 and 7,454.09 is: 10,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.78 : 16,454.25 = 7,454.09 : x
  2. Step 2: Convert to fraction form
    11,925.78/16,454.25 = 7,454.09/x
  3. Step 3: Cross multiply
    11,925.78x = 16,454.25 × 7,454.09
  4. Step 4: Simplify right side
    11,925.78x = 122,651,378.11
  5. Step 5: Solve for x
    x = 122,651,378.11/11,925.78
  6. Step 6: Final answer
    x = 10,284.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.