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Finding the Fourth Proportional to 11,985.52, 17,981.82 and 6,146.20

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Solution

The fourth proportional to 11,985.52, 17,981.82 and 6,146.20 is: 9,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.52 : 17,981.82 = 6,146.20 : x
  2. Step 2: Convert to fraction form
    11,985.52/17,981.82 = 6,146.20/x
  3. Step 3: Cross multiply
    11,985.52x = 17,981.82 × 6,146.20
  4. Step 4: Simplify right side
    11,985.52x = 110,519,862.08
  5. Step 5: Solve for x
    x = 110,519,862.08/11,985.52
  6. Step 6: Final answer
    x = 9,221.12

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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.