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Finding the Fourth Proportional to 10,895.49, 16,328.12 and 5,690.97

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Solution

The fourth proportional to 10,895.49, 16,328.12 and 5,690.97 is: 8,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.49 : 16,328.12 = 5,690.97 : x
  2. Step 2: Convert to fraction form
    10,895.49/16,328.12 = 5,690.97/x
  3. Step 3: Cross multiply
    10,895.49x = 16,328.12 × 5,690.97
  4. Step 4: Simplify right side
    10,895.49x = 92,922,812.62
  5. Step 5: Solve for x
    x = 92,922,812.62/10,895.49
  6. Step 6: Final answer
    x = 8,528.56

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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.