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Finding the Fourth Proportional to 8,377.60, 12,566.66 and 2,137.62

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Solution

The fourth proportional to 8,377.60, 12,566.66 and 2,137.62 is: 3,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.60 : 12,566.66 = 2,137.62 : x
  2. Step 2: Convert to fraction form
    8,377.60/12,566.66 = 2,137.62/x
  3. Step 3: Cross multiply
    8,377.60x = 12,566.66 × 2,137.62
  4. Step 4: Simplify right side
    8,377.60x = 26,862,743.75
  5. Step 5: Solve for x
    x = 26,862,743.75/8,377.60
  6. Step 6: Final answer
    x = 3,206.50

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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.