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Finding the Fourth Proportional to 11,259.38, 15,537.94 and 6,291.38

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Solution

The fourth proportional to 11,259.38, 15,537.94 and 6,291.38 is: 8,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.38 : 15,537.94 = 6,291.38 : x
  2. Step 2: Convert to fraction form
    11,259.38/15,537.94 = 6,291.38/x
  3. Step 3: Cross multiply
    11,259.38x = 15,537.94 × 6,291.38
  4. Step 4: Simplify right side
    11,259.38x = 97,754,991.54
  5. Step 5: Solve for x
    x = 97,754,991.54/11,259.38
  6. Step 6: Final answer
    x = 8,682.10

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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.