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Finding the Fourth Proportional to 10,963, 16,436.29 and 3,563.04

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Solution

The fourth proportional to 10,963, 16,436.29 and 3,563.04 is: 5,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963 : 16,436.29 = 3,563.04 : x
  2. Step 2: Convert to fraction form
    10,963/16,436.29 = 3,563.04/x
  3. Step 3: Cross multiply
    10,963x = 16,436.29 × 3,563.04
  4. Step 4: Simplify right side
    10,963x = 58,563,158.72
  5. Step 5: Solve for x
    x = 58,563,158.72/10,963
  6. Step 6: Final answer
    x = 5,341.89

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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.