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Finding the Fourth Proportional to 11,683.39, 16,120.86 and 6,968.11

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Solution

The fourth proportional to 11,683.39, 16,120.86 and 6,968.11 is: 9,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.39 : 16,120.86 = 6,968.11 : x
  2. Step 2: Convert to fraction form
    11,683.39/16,120.86 = 6,968.11/x
  3. Step 3: Cross multiply
    11,683.39x = 16,120.86 × 6,968.11
  4. Step 4: Simplify right side
    11,683.39x = 112,331,925.77
  5. Step 5: Solve for x
    x = 112,331,925.77/11,683.39
  6. Step 6: Final answer
    x = 9,614.67

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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.