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Finding the Fourth Proportional to 11,989.28, 17,985 and 4,089.12

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Solution

The fourth proportional to 11,989.28, 17,985 and 4,089.12 is: 6,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.28 : 17,985 = 4,089.12 : x
  2. Step 2: Convert to fraction form
    11,989.28/17,985 = 4,089.12/x
  3. Step 3: Cross multiply
    11,989.28x = 17,985 × 4,089.12
  4. Step 4: Simplify right side
    11,989.28x = 73,542,823.20
  5. Step 5: Solve for x
    x = 73,542,823.20/11,989.28
  6. Step 6: Final answer
    x = 6,134.05

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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.