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Finding the Fourth Proportional to 11,645.51, 16,076.22 and 6,863.95

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Solution

The fourth proportional to 11,645.51, 16,076.22 and 6,863.95 is: 9,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.51 : 16,076.22 = 6,863.95 : x
  2. Step 2: Convert to fraction form
    11,645.51/16,076.22 = 6,863.95/x
  3. Step 3: Cross multiply
    11,645.51x = 16,076.22 × 6,863.95
  4. Step 4: Simplify right side
    11,645.51x = 110,346,289.89
  5. Step 5: Solve for x
    x = 110,346,289.89/11,645.51
  6. Step 6: Final answer
    x = 9,475.44

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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.