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Finding the Fourth Proportional to 8,683.47, 11,981.84 and 5,146.11

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Solution

The fourth proportional to 8,683.47, 11,981.84 and 5,146.11 is: 7,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.47 : 11,981.84 = 5,146.11 : x
  2. Step 2: Convert to fraction form
    8,683.47/11,981.84 = 5,146.11/x
  3. Step 3: Cross multiply
    8,683.47x = 11,981.84 × 5,146.11
  4. Step 4: Simplify right side
    8,683.47x = 61,659,840.91
  5. Step 5: Solve for x
    x = 61,659,840.91/8,683.47
  6. Step 6: Final answer
    x = 7,100.83

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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.