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Finding the Fourth Proportional to 11,870.69, 16,383.24 and 6,834.40

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Solution

The fourth proportional to 11,870.69, 16,383.24 and 6,834.40 is: 9,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.69 : 16,383.24 = 6,834.40 : x
  2. Step 2: Convert to fraction form
    11,870.69/16,383.24 = 6,834.40/x
  3. Step 3: Cross multiply
    11,870.69x = 16,383.24 × 6,834.40
  4. Step 4: Simplify right side
    11,870.69x = 111,969,574.50
  5. Step 5: Solve for x
    x = 111,969,574.50/11,870.69
  6. Step 6: Final answer
    x = 9,432.44

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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.