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Finding the Fourth Proportional to 7,664.90, 11,494.71 and 3,713.85

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Solution

The fourth proportional to 7,664.90, 11,494.71 and 3,713.85 is: 5,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.90 : 11,494.71 = 3,713.85 : x
  2. Step 2: Convert to fraction form
    7,664.90/11,494.71 = 3,713.85/x
  3. Step 3: Cross multiply
    7,664.90x = 11,494.71 × 3,713.85
  4. Step 4: Simplify right side
    7,664.90x = 42,689,628.73
  5. Step 5: Solve for x
    x = 42,689,628.73/7,664.90
  6. Step 6: Final answer
    x = 5,569.50

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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.