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Finding the Fourth Proportional to 11,698.37, 17,559.70 and 6,777.62

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Solution

The fourth proportional to 11,698.37, 17,559.70 and 6,777.62 is: 10,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.37 : 17,559.70 = 6,777.62 : x
  2. Step 2: Convert to fraction form
    11,698.37/17,559.70 = 6,777.62/x
  3. Step 3: Cross multiply
    11,698.37x = 17,559.70 × 6,777.62
  4. Step 4: Simplify right side
    11,698.37x = 119,012,869.17
  5. Step 5: Solve for x
    x = 119,012,869.17/11,698.37
  6. Step 6: Final answer
    x = 10,173.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.