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Finding the Fourth Proportional to 7,662.80, 11,488.74 and 3,709.80

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Solution

The fourth proportional to 7,662.80, 11,488.74 and 3,709.80 is: 5,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.80 : 11,488.74 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    7,662.80/11,488.74 = 3,709.80/x
  3. Step 3: Cross multiply
    7,662.80x = 11,488.74 × 3,709.80
  4. Step 4: Simplify right side
    7,662.80x = 42,620,913.74
  5. Step 5: Solve for x
    x = 42,620,913.74/7,662.80
  6. Step 6: Final answer
    x = 5,562.05

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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.