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Finding the Fourth Proportional to 10,964.16, 16,444.32 and 3,567.54

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Solution

The fourth proportional to 10,964.16, 16,444.32 and 3,567.54 is: 5,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.16 : 16,444.32 = 3,567.54 : x
  2. Step 2: Convert to fraction form
    10,964.16/16,444.32 = 3,567.54/x
  3. Step 3: Cross multiply
    10,964.16x = 16,444.32 × 3,567.54
  4. Step 4: Simplify right side
    10,964.16x = 58,665,769.37
  5. Step 5: Solve for x
    x = 58,665,769.37/10,964.16
  6. Step 6: Final answer
    x = 5,350.69

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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.