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Finding the Fourth Proportional to 11,683.90, 16,124.01 and 6,378.74

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Solution

The fourth proportional to 11,683.90, 16,124.01 and 6,378.74 is: 8,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.90 : 16,124.01 = 6,378.74 : x
  2. Step 2: Convert to fraction form
    11,683.90/16,124.01 = 6,378.74/x
  3. Step 3: Cross multiply
    11,683.90x = 16,124.01 × 6,378.74
  4. Step 4: Simplify right side
    11,683.90x = 102,850,786.93
  5. Step 5: Solve for x
    x = 102,850,786.93/11,683.90
  6. Step 6: Final answer
    x = 8,802.78

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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.