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Finding the Fourth Proportional to 11,778.62, 16,254.57 and 6,473.47

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Solution

The fourth proportional to 11,778.62, 16,254.57 and 6,473.47 is: 8,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.62 : 16,254.57 = 6,473.47 : x
  2. Step 2: Convert to fraction form
    11,778.62/16,254.57 = 6,473.47/x
  3. Step 3: Cross multiply
    11,778.62x = 16,254.57 × 6,473.47
  4. Step 4: Simplify right side
    11,778.62x = 105,223,485.37
  5. Step 5: Solve for x
    x = 105,223,485.37/11,778.62
  6. Step 6: Final answer
    x = 8,933.43

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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.