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Finding the Fourth Proportional to 11,707.59, 17,561.41 and 4,782.09

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Solution

The fourth proportional to 11,707.59, 17,561.41 and 4,782.09 is: 7,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.59 : 17,561.41 = 4,782.09 : x
  2. Step 2: Convert to fraction form
    11,707.59/17,561.41 = 4,782.09/x
  3. Step 3: Cross multiply
    11,707.59x = 17,561.41 × 4,782.09
  4. Step 4: Simplify right side
    11,707.59x = 83,980,297.05
  5. Step 5: Solve for x
    x = 83,980,297.05/11,707.59
  6. Step 6: Final answer
    x = 7,173.15

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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.