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Finding the Fourth Proportional to 10,964.30, 16,448.04 and 3,465.32

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Solution

The fourth proportional to 10,964.30, 16,448.04 and 3,465.32 is: 5,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.30 : 16,448.04 = 3,465.32 : x
  2. Step 2: Convert to fraction form
    10,964.30/16,448.04 = 3,465.32/x
  3. Step 3: Cross multiply
    10,964.30x = 16,448.04 × 3,465.32
  4. Step 4: Simplify right side
    10,964.30x = 56,997,721.97
  5. Step 5: Solve for x
    x = 56,997,721.97/10,964.30
  6. Step 6: Final answer
    x = 5,198.48

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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.