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Finding the Fourth Proportional to 8,682.84, 11,980.80 and 5,146.92

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Solution

The fourth proportional to 8,682.84, 11,980.80 and 5,146.92 is: 7,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.84 : 11,980.80 = 5,146.92 : x
  2. Step 2: Convert to fraction form
    8,682.84/11,980.80 = 5,146.92/x
  3. Step 3: Cross multiply
    8,682.84x = 11,980.80 × 5,146.92
  4. Step 4: Simplify right side
    8,682.84x = 61,664,219.14
  5. Step 5: Solve for x
    x = 61,664,219.14/8,682.84
  6. Step 6: Final answer
    x = 7,101.85

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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.