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Finding the Fourth Proportional to 10,920.69, 16,364.52 and 8,134.29

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Solution

The fourth proportional to 10,920.69, 16,364.52 and 8,134.29 is: 12,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.69 : 16,364.52 = 8,134.29 : x
  2. Step 2: Convert to fraction form
    10,920.69/16,364.52 = 8,134.29/x
  3. Step 3: Cross multiply
    10,920.69x = 16,364.52 × 8,134.29
  4. Step 4: Simplify right side
    10,920.69x = 133,113,751.39
  5. Step 5: Solve for x
    x = 133,113,751.39/10,920.69
  6. Step 6: Final answer
    x = 12,189.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.