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Finding the Fourth Proportional to 11,894.75, 17,852.94 and 5,319.71

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Solution

The fourth proportional to 11,894.75, 17,852.94 and 5,319.71 is: 7,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.75 : 17,852.94 = 5,319.71 : x
  2. Step 2: Convert to fraction form
    11,894.75/17,852.94 = 5,319.71/x
  3. Step 3: Cross multiply
    11,894.75x = 17,852.94 × 5,319.71
  4. Step 4: Simplify right side
    11,894.75x = 94,972,374.18
  5. Step 5: Solve for x
    x = 94,972,374.18/11,894.75
  6. Step 6: Final answer
    x = 7,984.40

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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.