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Finding the Fourth Proportional to 11,594.50, 17,373.86 and 7,831.54

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Solution

The fourth proportional to 11,594.50, 17,373.86 and 7,831.54 is: 11,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.50 : 17,373.86 = 7,831.54 : x
  2. Step 2: Convert to fraction form
    11,594.50/17,373.86 = 7,831.54/x
  3. Step 3: Cross multiply
    11,594.50x = 17,373.86 × 7,831.54
  4. Step 4: Simplify right side
    11,594.50x = 136,064,079.54
  5. Step 5: Solve for x
    x = 136,064,079.54/11,594.50
  6. Step 6: Final answer
    x = 11,735.23

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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.