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Finding the Fourth Proportional to 10,254.28, 14,152.26 and 5,779

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Solution

The fourth proportional to 10,254.28, 14,152.26 and 5,779 is: 7,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.28 : 14,152.26 = 5,779 : x
  2. Step 2: Convert to fraction form
    10,254.28/14,152.26 = 5,779/x
  3. Step 3: Cross multiply
    10,254.28x = 14,152.26 × 5,779
  4. Step 4: Simplify right side
    10,254.28x = 81,785,910.54
  5. Step 5: Solve for x
    x = 81,785,910.54/10,254.28
  6. Step 6: Final answer
    x = 7,975.78

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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.