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Finding the Fourth Proportional to 8,461.43, 11,677.53 and 4,685.48

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Solution

The fourth proportional to 8,461.43, 11,677.53 and 4,685.48 is: 6,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.43 : 11,677.53 = 4,685.48 : x
  2. Step 2: Convert to fraction form
    8,461.43/11,677.53 = 4,685.48/x
  3. Step 3: Cross multiply
    8,461.43x = 11,677.53 × 4,685.48
  4. Step 4: Simplify right side
    8,461.43x = 54,714,774.88
  5. Step 5: Solve for x
    x = 54,714,774.88/8,461.43
  6. Step 6: Final answer
    x = 6,466.38

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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.