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Finding the Fourth Proportional to 11,683.50, 16,123.20 and 6,378.32

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Solution

The fourth proportional to 11,683.50, 16,123.20 and 6,378.32 is: 8,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.50 : 16,123.20 = 6,378.32 : x
  2. Step 2: Convert to fraction form
    11,683.50/16,123.20 = 6,378.32/x
  3. Step 3: Cross multiply
    11,683.50x = 16,123.20 × 6,378.32
  4. Step 4: Simplify right side
    11,683.50x = 102,838,848.41
  5. Step 5: Solve for x
    x = 102,838,848.41/11,683.50
  6. Step 6: Final answer
    x = 8,802.06

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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.