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Finding the Fourth Proportional to 11,763.95, 16,230.29 and 6,724.61

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Solution

The fourth proportional to 11,763.95, 16,230.29 and 6,724.61 is: 9,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.95 : 16,230.29 = 6,724.61 : x
  2. Step 2: Convert to fraction form
    11,763.95/16,230.29 = 6,724.61/x
  3. Step 3: Cross multiply
    11,763.95x = 16,230.29 × 6,724.61
  4. Step 4: Simplify right side
    11,763.95x = 109,142,255.66
  5. Step 5: Solve for x
    x = 109,142,255.66/11,763.95
  6. Step 6: Final answer
    x = 9,277.69

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Why These Related Problems?

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