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Finding the Fourth Proportional to 8,461.80, 12,672.45 and 4,557.60

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Solution

The fourth proportional to 8,461.80, 12,672.45 and 4,557.60 is: 6,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.80 : 12,672.45 = 4,557.60 : x
  2. Step 2: Convert to fraction form
    8,461.80/12,672.45 = 4,557.60/x
  3. Step 3: Cross multiply
    8,461.80x = 12,672.45 × 4,557.60
  4. Step 4: Simplify right side
    8,461.80x = 57,755,958.12
  5. Step 5: Solve for x
    x = 57,755,958.12/8,461.80
  6. Step 6: Final answer
    x = 6,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.