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Finding the Fourth Proportional to 11,696.52, 17,549.10 and 4,305.81

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Solution

The fourth proportional to 11,696.52, 17,549.10 and 4,305.81 is: 6,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.52 : 17,549.10 = 4,305.81 : x
  2. Step 2: Convert to fraction form
    11,696.52/17,549.10 = 4,305.81/x
  3. Step 3: Cross multiply
    11,696.52x = 17,549.10 × 4,305.81
  4. Step 4: Simplify right side
    11,696.52x = 75,563,090.27
  5. Step 5: Solve for x
    x = 75,563,090.27/11,696.52
  6. Step 6: Final answer
    x = 6,460.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.