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Finding the Fourth Proportional to 11,720.90, 17,580.14 and 6,172.00

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Solution

The fourth proportional to 11,720.90, 17,580.14 and 6,172.00 is: 9,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.90 : 17,580.14 = 6,172.00 : x
  2. Step 2: Convert to fraction form
    11,720.90/17,580.14 = 6,172.00/x
  3. Step 3: Cross multiply
    11,720.90x = 17,580.14 × 6,172.00
  4. Step 4: Simplify right side
    11,720.90x = 108,504,505.32
  5. Step 5: Solve for x
    x = 108,504,505.32/11,720.90
  6. Step 6: Final answer
    x = 9,257.35

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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.