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Finding the Fourth Proportional to 8,415.32, 11,613.22 and 4,638.63

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Solution

The fourth proportional to 8,415.32, 11,613.22 and 4,638.63 is: 6,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.32 : 11,613.22 = 4,638.63 : x
  2. Step 2: Convert to fraction form
    8,415.32/11,613.22 = 4,638.63/x
  3. Step 3: Cross multiply
    8,415.32x = 11,613.22 × 4,638.63
  4. Step 4: Simplify right side
    8,415.32x = 53,869,436.49
  5. Step 5: Solve for x
    x = 53,869,436.49/8,415.32
  6. Step 6: Final answer
    x = 6,401.35

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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.