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Finding the Fourth Proportional to 11,594.75, 16,000.76 and 6,626.75

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Solution

The fourth proportional to 11,594.75, 16,000.76 and 6,626.75 is: 9,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.75 : 16,000.76 = 6,626.75 : x
  2. Step 2: Convert to fraction form
    11,594.75/16,000.76 = 6,626.75/x
  3. Step 3: Cross multiply
    11,594.75x = 16,000.76 × 6,626.75
  4. Step 4: Simplify right side
    11,594.75x = 106,033,036.33
  5. Step 5: Solve for x
    x = 106,033,036.33/11,594.75
  6. Step 6: Final answer
    x = 9,144.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.