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Finding the Fourth Proportional to 8,456.28, 11,672.34 and 5,807.40

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Solution

The fourth proportional to 8,456.28, 11,672.34 and 5,807.40 is: 8,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.28 : 11,672.34 = 5,807.40 : x
  2. Step 2: Convert to fraction form
    8,456.28/11,672.34 = 5,807.40/x
  3. Step 3: Cross multiply
    8,456.28x = 11,672.34 × 5,807.40
  4. Step 4: Simplify right side
    8,456.28x = 67,785,947.32
  5. Step 5: Solve for x
    x = 67,785,947.32/8,456.28
  6. Step 6: Final answer
    x = 8,016.05

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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.