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Finding the Fourth Proportional to 10,537.40, 14,541.72 and 5,757.48

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Solution

The fourth proportional to 10,537.40, 14,541.72 and 5,757.48 is: 7,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.40 : 14,541.72 = 5,757.48 : x
  2. Step 2: Convert to fraction form
    10,537.40/14,541.72 = 5,757.48/x
  3. Step 3: Cross multiply
    10,537.40x = 14,541.72 × 5,757.48
  4. Step 4: Simplify right side
    10,537.40x = 83,723,662.07
  5. Step 5: Solve for x
    x = 83,723,662.07/10,537.40
  6. Step 6: Final answer
    x = 7,945.38

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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.