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Finding the Fourth Proportional to 10,964.49, 16,443.01 and 3,567.11

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Solution

The fourth proportional to 10,964.49, 16,443.01 and 3,567.11 is: 5,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.49 : 16,443.01 = 3,567.11 : x
  2. Step 2: Convert to fraction form
    10,964.49/16,443.01 = 3,567.11/x
  3. Step 3: Cross multiply
    10,964.49x = 16,443.01 × 3,567.11
  4. Step 4: Simplify right side
    10,964.49x = 58,654,025.40
  5. Step 5: Solve for x
    x = 58,654,025.40/10,964.49
  6. Step 6: Final answer
    x = 5,349.45

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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.