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Finding the Fourth Proportional to 11,851.79, 17,787.87 and 4,835.66

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Solution

The fourth proportional to 11,851.79, 17,787.87 and 4,835.66 is: 7,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.79 : 17,787.87 = 4,835.66 : x
  2. Step 2: Convert to fraction form
    11,851.79/17,787.87 = 4,835.66/x
  3. Step 3: Cross multiply
    11,851.79x = 17,787.87 × 4,835.66
  4. Step 4: Simplify right side
    11,851.79x = 86,016,002.50
  5. Step 5: Solve for x
    x = 86,016,002.50/11,851.79
  6. Step 6: Final answer
    x = 7,257.64

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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.