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Finding the Fourth Proportional to 7,359.98, 11,041.84 and 2,165.88

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Solution

The fourth proportional to 7,359.98, 11,041.84 and 2,165.88 is: 3,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.98 : 11,041.84 = 2,165.88 : x
  2. Step 2: Convert to fraction form
    7,359.98/11,041.84 = 2,165.88/x
  3. Step 3: Cross multiply
    7,359.98x = 11,041.84 × 2,165.88
  4. Step 4: Simplify right side
    7,359.98x = 23,915,300.42
  5. Step 5: Solve for x
    x = 23,915,300.42/7,359.98
  6. Step 6: Final answer
    x = 3,249.37

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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.