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Finding the Fourth Proportional to 8,386.62, 11,573.35 and 4,609.77

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Solution

The fourth proportional to 8,386.62, 11,573.35 and 4,609.77 is: 6,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.62 : 11,573.35 = 4,609.77 : x
  2. Step 2: Convert to fraction form
    8,386.62/11,573.35 = 4,609.77/x
  3. Step 3: Cross multiply
    8,386.62x = 11,573.35 × 4,609.77
  4. Step 4: Simplify right side
    8,386.62x = 53,350,481.63
  5. Step 5: Solve for x
    x = 53,350,481.63/8,386.62
  6. Step 6: Final answer
    x = 6,361.38

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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.