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Finding the Fourth Proportional to 11,778.50, 16,247.52 and 7,060.05

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Solution

The fourth proportional to 11,778.50, 16,247.52 and 7,060.05 is: 9,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.50 : 16,247.52 = 7,060.05 : x
  2. Step 2: Convert to fraction form
    11,778.50/16,247.52 = 7,060.05/x
  3. Step 3: Cross multiply
    11,778.50x = 16,247.52 × 7,060.05
  4. Step 4: Simplify right side
    11,778.50x = 114,708,303.58
  5. Step 5: Solve for x
    x = 114,708,303.58/11,778.50
  6. Step 6: Final answer
    x = 9,738.79

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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.