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Finding the Fourth Proportional to 7,980.53, 11,970.86 and 2,433.78

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Solution

The fourth proportional to 7,980.53, 11,970.86 and 2,433.78 is: 3,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.53 : 11,970.86 = 2,433.78 : x
  2. Step 2: Convert to fraction form
    7,980.53/11,970.86 = 2,433.78/x
  3. Step 3: Cross multiply
    7,980.53x = 11,970.86 × 2,433.78
  4. Step 4: Simplify right side
    7,980.53x = 29,134,427.48
  5. Step 5: Solve for x
    x = 29,134,427.48/7,980.53
  6. Step 6: Final answer
    x = 3,650.69

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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.