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Finding the Fourth Proportional to 11,180.40, 16,777.04 and 5,024.40

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Solution

The fourth proportional to 11,180.40, 16,777.04 and 5,024.40 is: 7,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.40 : 16,777.04 = 5,024.40 : x
  2. Step 2: Convert to fraction form
    11,180.40/16,777.04 = 5,024.40/x
  3. Step 3: Cross multiply
    11,180.40x = 16,777.04 × 5,024.40
  4. Step 4: Simplify right side
    11,180.40x = 84,294,559.78
  5. Step 5: Solve for x
    x = 84,294,559.78/11,180.40
  6. Step 6: Final answer
    x = 7,539.49

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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.