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Finding the Fourth Proportional to 8,477.98, 11,709.50 and 6,782.37

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Solution

The fourth proportional to 8,477.98, 11,709.50 and 6,782.37 is: 9,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.98 : 11,709.50 = 6,782.37 : x
  2. Step 2: Convert to fraction form
    8,477.98/11,709.50 = 6,782.37/x
  3. Step 3: Cross multiply
    8,477.98x = 11,709.50 × 6,782.37
  4. Step 4: Simplify right side
    8,477.98x = 79,418,182.49
  5. Step 5: Solve for x
    x = 79,418,182.49/8,477.98
  6. Step 6: Final answer
    x = 9,367.58

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