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Finding the Fourth Proportional to 7,180.56, 9,914.09 and 5,499

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Solution

The fourth proportional to 7,180.56, 9,914.09 and 5,499 is: 7,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.56 : 9,914.09 = 5,499 : x
  2. Step 2: Convert to fraction form
    7,180.56/9,914.09 = 5,499/x
  3. Step 3: Cross multiply
    7,180.56x = 9,914.09 × 5,499
  4. Step 4: Simplify right side
    7,180.56x = 54,517,553.42
  5. Step 5: Solve for x
    x = 54,517,553.42/7,180.56
  6. Step 6: Final answer
    x = 7,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.