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Finding the Fourth Proportional to 10,563.40, 14,605.32 and 9,251.20

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Solution

The fourth proportional to 10,563.40, 14,605.32 and 9,251.20 is: 12,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.40 : 14,605.32 = 9,251.20 : x
  2. Step 2: Convert to fraction form
    10,563.40/14,605.32 = 9,251.20/x
  3. Step 3: Cross multiply
    10,563.40x = 14,605.32 × 9,251.20
  4. Step 4: Simplify right side
    10,563.40x = 135,116,736.38
  5. Step 5: Solve for x
    x = 135,116,736.38/10,563.40
  6. Step 6: Final answer
    x = 12,791.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.