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Finding the Fourth Proportional to 10,974.66, 16,463.57 and 3,577.29

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Solution

The fourth proportional to 10,974.66, 16,463.57 and 3,577.29 is: 5,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.66 : 16,463.57 = 3,577.29 : x
  2. Step 2: Convert to fraction form
    10,974.66/16,463.57 = 3,577.29/x
  3. Step 3: Cross multiply
    10,974.66x = 16,463.57 × 3,577.29
  4. Step 4: Simplify right side
    10,974.66x = 58,894,964.33
  5. Step 5: Solve for x
    x = 58,894,964.33/10,974.66
  6. Step 6: Final answer
    x = 5,366.45

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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.