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Finding the Fourth Proportional to 7,359.82, 11,041.86 and 2,165.68

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Solution

The fourth proportional to 7,359.82, 11,041.86 and 2,165.68 is: 3,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.82 : 11,041.86 = 2,165.68 : x
  2. Step 2: Convert to fraction form
    7,359.82/11,041.86 = 2,165.68/x
  3. Step 3: Cross multiply
    7,359.82x = 11,041.86 × 2,165.68
  4. Step 4: Simplify right side
    7,359.82x = 23,913,135.36
  5. Step 5: Solve for x
    x = 23,913,135.36/7,359.82
  6. Step 6: Final answer
    x = 3,249.15

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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.