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Finding the Fourth Proportional to 11,985.57, 16,540.10 and 6,950.76

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Solution

The fourth proportional to 11,985.57, 16,540.10 and 6,950.76 is: 9,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.57 : 16,540.10 = 6,950.76 : x
  2. Step 2: Convert to fraction form
    11,985.57/16,540.10 = 6,950.76/x
  3. Step 3: Cross multiply
    11,985.57x = 16,540.10 × 6,950.76
  4. Step 4: Simplify right side
    11,985.57x = 114,966,287.80
  5. Step 5: Solve for x
    x = 114,966,287.80/11,985.57
  6. Step 6: Final answer
    x = 9,592.06

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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.