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Finding the Fourth Proportional to 11,985.30, 17,975.07 and 6,138.90

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Solution

The fourth proportional to 11,985.30, 17,975.07 and 6,138.90 is: 9,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.30 : 17,975.07 = 6,138.90 : x
  2. Step 2: Convert to fraction form
    11,985.30/17,975.07 = 6,138.90/x
  3. Step 3: Cross multiply
    11,985.30x = 17,975.07 × 6,138.90
  4. Step 4: Simplify right side
    11,985.30x = 110,347,157.22
  5. Step 5: Solve for x
    x = 110,347,157.22/11,985.30
  6. Step 6: Final answer
    x = 9,206.87

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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.