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Finding the Fourth Proportional to 7,673.87, 11,508.66 and 3,290.28

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Solution

The fourth proportional to 7,673.87, 11,508.66 and 3,290.28 is: 4,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.87 : 11,508.66 = 3,290.28 : x
  2. Step 2: Convert to fraction form
    7,673.87/11,508.66 = 3,290.28/x
  3. Step 3: Cross multiply
    7,673.87x = 11,508.66 × 3,290.28
  4. Step 4: Simplify right side
    7,673.87x = 37,866,713.82
  5. Step 5: Solve for x
    x = 37,866,713.82/7,673.87
  6. Step 6: Final answer
    x = 4,934.50

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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.