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Finding the Fourth Proportional to 10,774.45, 16,178.68 and 6,411.38

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Solution

The fourth proportional to 10,774.45, 16,178.68 and 6,411.38 is: 9,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.45 : 16,178.68 = 6,411.38 : x
  2. Step 2: Convert to fraction form
    10,774.45/16,178.68 = 6,411.38/x
  3. Step 3: Cross multiply
    10,774.45x = 16,178.68 × 6,411.38
  4. Step 4: Simplify right side
    10,774.45x = 103,727,665.38
  5. Step 5: Solve for x
    x = 103,727,665.38/10,774.45
  6. Step 6: Final answer
    x = 9,627.19

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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.