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Finding the Fourth Proportional to 10,964.25, 16,438.16 and 3,564.29

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Solution

The fourth proportional to 10,964.25, 16,438.16 and 3,564.29 is: 5,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.25 : 16,438.16 = 3,564.29 : x
  2. Step 2: Convert to fraction form
    10,964.25/16,438.16 = 3,564.29/x
  3. Step 3: Cross multiply
    10,964.25x = 16,438.16 × 3,564.29
  4. Step 4: Simplify right side
    10,964.25x = 58,590,419.31
  5. Step 5: Solve for x
    x = 58,590,419.31/10,964.25
  6. Step 6: Final answer
    x = 5,343.77

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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.