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Finding the Fourth Proportional to 8,469.42, 11,683.96 and 5,111.16

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Solution

The fourth proportional to 8,469.42, 11,683.96 and 5,111.16 is: 7,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.42 : 11,683.96 = 5,111.16 : x
  2. Step 2: Convert to fraction form
    8,469.42/11,683.96 = 5,111.16/x
  3. Step 3: Cross multiply
    8,469.42x = 11,683.96 × 5,111.16
  4. Step 4: Simplify right side
    8,469.42x = 59,718,530.57
  5. Step 5: Solve for x
    x = 59,718,530.57/8,469.42
  6. Step 6: Final answer
    x = 7,051.08

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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.