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Finding the Fourth Proportional to 11,846.71, 17,771.15 and 8,764.93

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Solution

The fourth proportional to 11,846.71, 17,771.15 and 8,764.93 is: 13,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.71 : 17,771.15 = 8,764.93 : x
  2. Step 2: Convert to fraction form
    11,846.71/17,771.15 = 8,764.93/x
  3. Step 3: Cross multiply
    11,846.71x = 17,771.15 × 8,764.93
  4. Step 4: Simplify right side
    11,846.71x = 155,762,885.77
  5. Step 5: Solve for x
    x = 155,762,885.77/11,846.71
  6. Step 6: Final answer
    x = 13,148.20

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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.