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Finding the Fourth Proportional to 8,511.72, 11,746.17 and 4,785.72

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Solution

The fourth proportional to 8,511.72, 11,746.17 and 4,785.72 is: 6,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.72 : 11,746.17 = 4,785.72 : x
  2. Step 2: Convert to fraction form
    8,511.72/11,746.17 = 4,785.72/x
  3. Step 3: Cross multiply
    8,511.72x = 11,746.17 × 4,785.72
  4. Step 4: Simplify right side
    8,511.72x = 56,213,880.69
  5. Step 5: Solve for x
    x = 56,213,880.69/8,511.72
  6. Step 6: Final answer
    x = 6,604.29

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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.