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Finding the Fourth Proportional to 8,380.74, 11,567.50 and 4,846

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Solution

The fourth proportional to 8,380.74, 11,567.50 and 4,846 is: 6,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.74 : 11,567.50 = 4,846 : x
  2. Step 2: Convert to fraction form
    8,380.74/11,567.50 = 4,846/x
  3. Step 3: Cross multiply
    8,380.74x = 11,567.50 × 4,846
  4. Step 4: Simplify right side
    8,380.74x = 56,056,105
  5. Step 5: Solve for x
    x = 56,056,105/8,380.74
  6. Step 6: Final answer
    x = 6,688.68

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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.