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Finding the Fourth Proportional to 11,884.88, 17,823.70 and 4,957.76

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Solution

The fourth proportional to 11,884.88, 17,823.70 and 4,957.76 is: 7,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.88 : 17,823.70 = 4,957.76 : x
  2. Step 2: Convert to fraction form
    11,884.88/17,823.70 = 4,957.76/x
  3. Step 3: Cross multiply
    11,884.88x = 17,823.70 × 4,957.76
  4. Step 4: Simplify right side
    11,884.88x = 88,365,626.91
  5. Step 5: Solve for x
    x = 88,365,626.91/11,884.88
  6. Step 6: Final answer
    x = 7,435.13

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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.