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Finding the Fourth Proportional to 11,648.88, 16,078.50 and 6,932.25

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Solution

The fourth proportional to 11,648.88, 16,078.50 and 6,932.25 is: 9,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 16,078.50 = 6,932.25 : x
  2. Step 2: Convert to fraction form
    11,648.88/16,078.50 = 6,932.25/x
  3. Step 3: Cross multiply
    11,648.88x = 16,078.50 × 6,932.25
  4. Step 4: Simplify right side
    11,648.88x = 111,460,181.63
  5. Step 5: Solve for x
    x = 111,460,181.63/11,648.88
  6. Step 6: Final answer
    x = 9,568.32

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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.