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Finding the Fourth Proportional to 11,778.53, 16,254.36 and 6,473.34

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Solution

The fourth proportional to 11,778.53, 16,254.36 and 6,473.34 is: 8,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.53 : 16,254.36 = 6,473.34 : x
  2. Step 2: Convert to fraction form
    11,778.53/16,254.36 = 6,473.34/x
  3. Step 3: Cross multiply
    11,778.53x = 16,254.36 × 6,473.34
  4. Step 4: Simplify right side
    11,778.53x = 105,219,998.76
  5. Step 5: Solve for x
    x = 105,219,998.76/11,778.53
  6. Step 6: Final answer
    x = 8,933.21

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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.