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Finding the Fourth Proportional to 11,870.01, 16,380.50 and 6,834.17

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Solution

The fourth proportional to 11,870.01, 16,380.50 and 6,834.17 is: 9,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.01 : 16,380.50 = 6,834.17 : x
  2. Step 2: Convert to fraction form
    11,870.01/16,380.50 = 6,834.17/x
  3. Step 3: Cross multiply
    11,870.01x = 16,380.50 × 6,834.17
  4. Step 4: Simplify right side
    11,870.01x = 111,947,128.47
  5. Step 5: Solve for x
    x = 111,947,128.47/11,870.01
  6. Step 6: Final answer
    x = 9,431.09

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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.