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Finding the Fourth Proportional to 8,140, 12,209.44 and 2,593.60

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Solution

The fourth proportional to 8,140, 12,209.44 and 2,593.60 is: 3,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 12,209.44 = 2,593.60 : x
  2. Step 2: Convert to fraction form
    8,140/12,209.44 = 2,593.60/x
  3. Step 3: Cross multiply
    8,140x = 12,209.44 × 2,593.60
  4. Step 4: Simplify right side
    8,140x = 31,666,403.58
  5. Step 5: Solve for x
    x = 31,666,403.58/8,140
  6. Step 6: Final answer
    x = 3,890.22

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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.