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Finding the Fourth Proportional to 8,049.64, 12,076.52 and 3,117.92

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Solution

The fourth proportional to 8,049.64, 12,076.52 and 3,117.92 is: 4,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.64 : 12,076.52 = 3,117.92 : x
  2. Step 2: Convert to fraction form
    8,049.64/12,076.52 = 3,117.92/x
  3. Step 3: Cross multiply
    8,049.64x = 12,076.52 × 3,117.92
  4. Step 4: Simplify right side
    8,049.64x = 37,653,623.24
  5. Step 5: Solve for x
    x = 37,653,623.24/8,049.64
  6. Step 6: Final answer
    x = 4,677.68

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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.