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Finding the Fourth Proportional to 11,985.44, 16,537.92 and 8,000.16

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Solution

The fourth proportional to 11,985.44, 16,537.92 and 8,000.16 is: 11,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.44 : 16,537.92 = 8,000.16 : x
  2. Step 2: Convert to fraction form
    11,985.44/16,537.92 = 8,000.16/x
  3. Step 3: Cross multiply
    11,985.44x = 16,537.92 × 8,000.16
  4. Step 4: Simplify right side
    11,985.44x = 132,306,006.07
  5. Step 5: Solve for x
    x = 132,306,006.07/11,985.44
  6. Step 6: Final answer
    x = 11,038.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.