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Finding the Fourth Proportional to 7,664.40, 11,499.08 and 3,766.07

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Solution

The fourth proportional to 7,664.40, 11,499.08 and 3,766.07 is: 5,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.40 : 11,499.08 = 3,766.07 : x
  2. Step 2: Convert to fraction form
    7,664.40/11,499.08 = 3,766.07/x
  3. Step 3: Cross multiply
    7,664.40x = 11,499.08 × 3,766.07
  4. Step 4: Simplify right side
    7,664.40x = 43,306,340.22
  5. Step 5: Solve for x
    x = 43,306,340.22/7,664.40
  6. Step 6: Final answer
    x = 5,650.32

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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.