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Finding the Fourth Proportional to 8,540.79, 11,785.71 and 4,955.85

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Solution

The fourth proportional to 8,540.79, 11,785.71 and 4,955.85 is: 6,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.79 : 11,785.71 = 4,955.85 : x
  2. Step 2: Convert to fraction form
    8,540.79/11,785.71 = 4,955.85/x
  3. Step 3: Cross multiply
    8,540.79x = 11,785.71 × 4,955.85
  4. Step 4: Simplify right side
    8,540.79x = 58,408,201.61
  5. Step 5: Solve for x
    x = 58,408,201.61/8,540.79
  6. Step 6: Final answer
    x = 6,838.74

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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.