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Finding the Fourth Proportional to 11,648.39, 16,076.12 and 6,612.14

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Solution

The fourth proportional to 11,648.39, 16,076.12 and 6,612.14 is: 9,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.39 : 16,076.12 = 6,612.14 : x
  2. Step 2: Convert to fraction form
    11,648.39/16,076.12 = 6,612.14/x
  3. Step 3: Cross multiply
    11,648.39x = 16,076.12 × 6,612.14
  4. Step 4: Simplify right side
    11,648.39x = 106,297,442.66
  5. Step 5: Solve for x
    x = 106,297,442.66/11,648.39
  6. Step 6: Final answer
    x = 9,125.51

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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.