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Finding the Fourth Proportional to 12,580.76, 18,866.28 and 6,003.56

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Solution

The fourth proportional to 12,580.76, 18,866.28 and 6,003.56 is: 9,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.76 : 18,866.28 = 6,003.56 : x
  2. Step 2: Convert to fraction form
    12,580.76/18,866.28 = 6,003.56/x
  3. Step 3: Cross multiply
    12,580.76x = 18,866.28 × 6,003.56
  4. Step 4: Simplify right side
    12,580.76x = 113,264,843.96
  5. Step 5: Solve for x
    x = 113,264,843.96/12,580.76
  6. Step 6: Final answer
    x = 9,003.02

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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.