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Finding the Fourth Proportional to 11,859.40, 17,774.70 and 5,278.60

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Solution

The fourth proportional to 11,859.40, 17,774.70 and 5,278.60 is: 7,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.40 : 17,774.70 = 5,278.60 : x
  2. Step 2: Convert to fraction form
    11,859.40/17,774.70 = 5,278.60/x
  3. Step 3: Cross multiply
    11,859.40x = 17,774.70 × 5,278.60
  4. Step 4: Simplify right side
    11,859.40x = 93,825,531.42
  5. Step 5: Solve for x
    x = 93,825,531.42/11,859.40
  6. Step 6: Final answer
    x = 7,911.49

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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.