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Finding the Fourth Proportional to 11,985.20, 17,970.02 and 5,745.06

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Solution

The fourth proportional to 11,985.20, 17,970.02 and 5,745.06 is: 8,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.20 : 17,970.02 = 5,745.06 : x
  2. Step 2: Convert to fraction form
    11,985.20/17,970.02 = 5,745.06/x
  3. Step 3: Cross multiply
    11,985.20x = 17,970.02 × 5,745.06
  4. Step 4: Simplify right side
    11,985.20x = 103,238,843.10
  5. Step 5: Solve for x
    x = 103,238,843.10/11,985.20
  6. Step 6: Final answer
    x = 8,613.86

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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.