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Finding the Fourth Proportional to 8,411.63, 11,608.10 and 4,826.73

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Solution

The fourth proportional to 8,411.63, 11,608.10 and 4,826.73 is: 6,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.63 : 11,608.10 = 4,826.73 : x
  2. Step 2: Convert to fraction form
    8,411.63/11,608.10 = 4,826.73/x
  3. Step 3: Cross multiply
    8,411.63x = 11,608.10 × 4,826.73
  4. Step 4: Simplify right side
    8,411.63x = 56,029,140.38
  5. Step 5: Solve for x
    x = 56,029,140.38/8,411.63
  6. Step 6: Final answer
    x = 6,660.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.