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Finding the Fourth Proportional to 11,778.05, 16,254 and 6,473.00

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Solution

The fourth proportional to 11,778.05, 16,254 and 6,473.00 is: 8,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.05 : 16,254 = 6,473.00 : x
  2. Step 2: Convert to fraction form
    11,778.05/16,254 = 6,473.00/x
  3. Step 3: Cross multiply
    11,778.05x = 16,254 × 6,473.00
  4. Step 4: Simplify right side
    11,778.05x = 105,212,060.73
  5. Step 5: Solve for x
    x = 105,212,060.73/11,778.05
  6. Step 6: Final answer
    x = 8,932.90

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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.