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Finding the Fourth Proportional to 11,580.64, 17,367.10 and 3,787.64

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Solution

The fourth proportional to 11,580.64, 17,367.10 and 3,787.64 is: 5,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.64 : 17,367.10 = 3,787.64 : x
  2. Step 2: Convert to fraction form
    11,580.64/17,367.10 = 3,787.64/x
  3. Step 3: Cross multiply
    11,580.64x = 17,367.10 × 3,787.64
  4. Step 4: Simplify right side
    11,580.64x = 65,780,322.64
  5. Step 5: Solve for x
    x = 65,780,322.64/11,580.64
  6. Step 6: Final answer
    x = 5,680.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.