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Finding the Fourth Proportional to 11,596.66, 17,394.98 and 2,831.57

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Solution

The fourth proportional to 11,596.66, 17,394.98 and 2,831.57 is: 4,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.66 : 17,394.98 = 2,831.57 : x
  2. Step 2: Convert to fraction form
    11,596.66/17,394.98 = 2,831.57/x
  3. Step 3: Cross multiply
    11,596.66x = 17,394.98 × 2,831.57
  4. Step 4: Simplify right side
    11,596.66x = 49,255,103.52
  5. Step 5: Solve for x
    x = 49,255,103.52/11,596.66
  6. Step 6: Final answer
    x = 4,247.35

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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.