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Finding the Fourth Proportional to 11,782.89, 16,259.97 and 6,477.67

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Solution

The fourth proportional to 11,782.89, 16,259.97 and 6,477.67 is: 8,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.89 : 16,259.97 = 6,477.67 : x
  2. Step 2: Convert to fraction form
    11,782.89/16,259.97 = 6,477.67/x
  3. Step 3: Cross multiply
    11,782.89x = 16,259.97 × 6,477.67
  4. Step 4: Simplify right side
    11,782.89x = 105,326,638.57
  5. Step 5: Solve for x
    x = 105,326,638.57/11,782.89
  6. Step 6: Final answer
    x = 8,938.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.