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Finding the Fourth Proportional to 10,188.64, 14,061.24 and 5,939.37

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Solution

The fourth proportional to 10,188.64, 14,061.24 and 5,939.37 is: 8,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.64 : 14,061.24 = 5,939.37 : x
  2. Step 2: Convert to fraction form
    10,188.64/14,061.24 = 5,939.37/x
  3. Step 3: Cross multiply
    10,188.64x = 14,061.24 × 5,939.37
  4. Step 4: Simplify right side
    10,188.64x = 83,514,907.02
  5. Step 5: Solve for x
    x = 83,514,907.02/10,188.64
  6. Step 6: Final answer
    x = 8,196.87

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