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Finding the Fourth Proportional to 8,580.60, 12,878.10 and 4,201.80

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Solution

The fourth proportional to 8,580.60, 12,878.10 and 4,201.80 is: 6,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.60 : 12,878.10 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    8,580.60/12,878.10 = 4,201.80/x
  3. Step 3: Cross multiply
    8,580.60x = 12,878.10 × 4,201.80
  4. Step 4: Simplify right side
    8,580.60x = 54,111,200.58
  5. Step 5: Solve for x
    x = 54,111,200.58/8,580.60
  6. Step 6: Final answer
    x = 6,306.23

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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.