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Finding the Fourth Proportional to 11,359.64, 15,680.58 and 8,399.30

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Solution

The fourth proportional to 11,359.64, 15,680.58 and 8,399.30 is: 11,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.64 : 15,680.58 = 8,399.30 : x
  2. Step 2: Convert to fraction form
    11,359.64/15,680.58 = 8,399.30/x
  3. Step 3: Cross multiply
    11,359.64x = 15,680.58 × 8,399.30
  4. Step 4: Simplify right side
    11,359.64x = 131,705,895.59
  5. Step 5: Solve for x
    x = 131,705,895.59/11,359.64
  6. Step 6: Final answer
    x = 11,594.20

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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.