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Finding the Fourth Proportional to 11,587.70, 17,382.90 and 4,195.64

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Solution

The fourth proportional to 11,587.70, 17,382.90 and 4,195.64 is: 6,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.70 : 17,382.90 = 4,195.64 : x
  2. Step 2: Convert to fraction form
    11,587.70/17,382.90 = 4,195.64/x
  3. Step 3: Cross multiply
    11,587.70x = 17,382.90 × 4,195.64
  4. Step 4: Simplify right side
    11,587.70x = 72,932,434.01
  5. Step 5: Solve for x
    x = 72,932,434.01/11,587.70
  6. Step 6: Final answer
    x = 6,293.95

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